diff --git a/app/core/deep_agent.py b/app/core/deep_agent.py
index ad34767..ac6957e 100644
--- a/app/core/deep_agent.py
+++ b/app/core/deep_agent.py
@@ -23,7 +23,8 @@ from app.db import async_session
 
 logger = logging.getLogger(__name__)
 
-FloatingDomain = Literal["tasks", "projects", "notes", "timelines"]
+FloatingDomainType = Literal["task", "timeline", "project", "node"]
+FloatingDomainSection = Literal["task", "timeline", "note"]
 
 _HOME_SINGLE_AGENT_SYSTEM = (
     "You are the home assistant with direct access to all tools: tasks, projects, notes, timelines, and memory tools. "
@@ -44,8 +45,18 @@ _FLOATING_SINGLE_AGENT_SYSTEM = (
     "Always use tools for factual data retrieval before answering. "
     "When the user asks to remember, forget, or update what you know about them, use memory tools. "
     "If context.context.resolved_project_id exists, use it as project_id for scoped list calls. "
-    "Return markdown and embed inline tags when relevant: <project>[ids]</project>, <task>[ids]</task>, "
-    "<note>[ids]</note>, <timeline>[ids]</timeline>, <chart>{json}</chart>."
+)
+
+_FLOATING_DOMAIN_CLASSIFIER_SYSTEM = (
+    "You are a strict domain classifier for websocket floating requests. "
+    "Return ONLY a JSON object with keys: type, id, section. "
+    "Allowed type values: task, timeline, project, node. "
+    "Allowed section values: task, timeline, note, or null. "
+    "Rules: infer from user message intent first; do not blindly trust scope.type. "
+    "If user asks tasks/timeline/notes for a project, set type=project and section accordingly. "
+    "If project id is unknown but context.resolved_project_id exists, use it as id. "
+    "If id is unknown, use null. "
+    "No markdown, no prose, JSON only."
 )
 
 
@@ -347,27 +358,145 @@ def _all_tools_for_user(user_id: str, trace_id: str | None) -> list[Any]:
     return [*_all_tools(), *_memory_tools(user_id, trace_id)]
 
 
-def _infer_floating_domain(message: str, context: dict[str, Any]) -> FloatingDomain:
-    scope = context.get("scope") if isinstance(context, dict) else None
-    if isinstance(scope, dict):
-        scope_type = str(scope.get("type") or "").strip().lower()
-        if scope_type in {"task", "tasks"}:
-            return "tasks"
-        if scope_type in {"project", "projects"}:
-            return "projects"
-        if scope_type in {"note", "notes"}:
-            return "notes"
-        if scope_type in {"timeline", "timelines"}:
-            return "timelines"
-
+def _detect_domain_section(message: str) -> FloatingDomainSection | None:
     lowered = message.lower()
     if any(keyword in lowered for keyword in ["timeline", "milestone", "release", "schedule"]):
-        return "timelines"
+        return "timeline"
+    if any(keyword in lowered for keyword in ["task", "tasks", "todo", "attivit", "azione"]):
+        return "task"
     if any(keyword in lowered for keyword in ["note", "notes", "memo", "document"]):
-        return "notes"
-    if any(keyword in lowered for keyword in ["project", "progetto", "client"]):
-        return "projects"
-    return "tasks"
+        return "note"
+    return None
+
+
+def _normalize_domain_payload(payload: dict[str, Any], fallback_id: str | None) -> dict[str, str | None]:
+    type_raw = str(payload.get("type") or "").strip().lower()
+    domain_type: FloatingDomainType = "task"
+    if type_raw in {"task", "timeline", "project", "node"}:
+        domain_type = type_raw
+
+    id_value = payload.get("id")
+    domain_id = id_value if isinstance(id_value, str) and id_value.strip() else None
+    if domain_type == "project" and not domain_id:
+        domain_id = fallback_id
+
+    section_raw = payload.get("section")
+    section: FloatingDomainSection | None = None
+    if isinstance(section_raw, str):
+        section_candidate = section_raw.strip().lower()
+        if section_candidate in {"task", "timeline", "note"}:
+            section = section_candidate
+
+    if domain_type != "project":
+        section = None
+
+    return {
+        "type": domain_type,
+        "id": domain_id,
+        "section": section,
+    }
+
+
+def _parse_json_object(text: str) -> dict[str, Any] | None:
+    raw = text.strip()
+    if not raw:
+        return None
+    try:
+        parsed = json.loads(raw)
+        return parsed if isinstance(parsed, dict) else None
+    except json.JSONDecodeError:
+        pass
+
+    match = re.search(r"\{.*\}", raw, re.DOTALL)
+    if not match:
+        return None
+    try:
+        parsed = json.loads(match.group(0))
+    except json.JSONDecodeError:
+        return None
+    return parsed if isinstance(parsed, dict) else None
+
+
+def _infer_floating_domain_rule_based(message: str, context: dict[str, Any]) -> dict[str, str | None]:
+    section = _detect_domain_section(message)
+    scope = context.get("scope") if isinstance(context, dict) else None
+    resolved_project_id = context.get("resolved_project_id") if isinstance(context, dict) else None
+    project_id = resolved_project_id if isinstance(resolved_project_id, str) and resolved_project_id else None
+
+    if isinstance(scope, dict):
+        scope_type = str(scope.get("type") or "").strip().lower()
+        scope_id = scope.get("id")
+        scope_id_value = scope_id if isinstance(scope_id, str) and scope_id else None
+
+        if scope_type in {"task", "tasks"}:
+            return {"type": "task", "id": scope_id_value, "section": None}
+        if scope_type in {"project", "projects"}:
+            project_scope_id = scope_id_value or project_id
+            return {
+                "type": "project",
+                "id": project_scope_id,
+                "section": section,
+            }
+        if scope_type in {"note", "notes"}:
+            return {
+                "type": "node",
+                "id": scope_id_value,
+                "section": None,
+            }
+        if scope_type in {"timeline", "timelines"}:
+            return {"type": "timeline", "id": scope_id_value, "section": None}
+
+    lowered = message.lower()
+    if any(keyword in lowered for keyword in ["project", "progetto", "client"]) or project_id:
+        return {
+            "type": "project",
+            "id": project_id,
+            "section": section,
+        }
+    if section == "timeline":
+        return {"type": "timeline", "id": None, "section": None}
+    if section == "note":
+        return {"type": "node", "id": None, "section": None}
+    return {"type": "task", "id": None, "section": None}
+
+
+async def _infer_floating_domain(message: str, context: dict[str, Any]) -> dict[str, str | None]:
+    resolved_project_id = context.get("resolved_project_id") if isinstance(context, dict) else None
+    project_id = resolved_project_id if isinstance(resolved_project_id, str) and resolved_project_id else None
+
+    classifier_context = {
+        "scope": context.get("scope") if isinstance(context.get("scope"), dict) else None,
+        "resolved_project_id": project_id,
+    }
+
+    try:
+        llm = get_llm()
+        response = await llm.ainvoke(
+            [
+                SystemMessage(content=_FLOATING_DOMAIN_CLASSIFIER_SYSTEM),
+                HumanMessage(
+                    content=(
+                        f"Message:\n{message}\n\n"
+                        f"Context:\n{json.dumps(classifier_context, ensure_ascii=True)}"
+                    )
+                ),
+            ]
+        )
+        parsed = _parse_json_object(_as_text(response.content))
+        if parsed is not None:
+            domain = _normalize_domain_payload(parsed, project_id)
+            logger.info(
+                "deep_agent: floating_domain_classified type=%s id=%s section=%s",
+                domain.get("type"),
+                domain.get("id"),
+                domain.get("section"),
+            )
+            return domain
+        logger.warning("deep_agent: floating_domain classifier returned non-json output")
+    except Exception as exc:
+        logger.warning("deep_agent: floating_domain classifier failed: %s", exc)
+
+    return _infer_floating_domain_rule_based(message, context)
 
 
 async def _run_single_agent(
@@ -558,9 +687,9 @@ async def run_home(user_id: str, message: str, context: dict[str, Any]) -> str:
     return _normalize_tagged_list_lines(response, message)
 
 
-async def run_floating(user_id: str, message: str, context: dict[str, Any]) -> tuple[str, str]:
-    domain = _infer_floating_domain(message, context)
+async def run_floating(user_id: str, message: str, context: dict[str, Any]) -> tuple[str, dict[str, str | None]]:
     prepared_context = await _prepare_context(message, context)
+    domain = await _infer_floating_domain(message, prepared_context)
     response = await _run_single_agent(
         user_id=user_id,
         system_prompt=_FLOATING_SINGLE_AGENT_SYSTEM,
@@ -599,10 +728,10 @@ async def run_floating_stream(
     message: str,
     context: dict[str, Any],
 ) -> AsyncGenerator[tuple[str, Any], None]:
-    domain = _infer_floating_domain(message, context)
+    prepared_context = await _prepare_context(message, context)
+    domain = await _infer_floating_domain(message, prepared_context)
     yield "floating_domain", domain
 
-    prepared_context = await _prepare_context(message, context)
     async for event in _run_single_agent_stream(
         user_id=user_id,
         system_prompt=_FLOATING_SINGLE_AGENT_SYSTEM,
diff --git a/app/core/output_formatter.py b/app/core/output_formatter.py
index 429a2ce..3c6f6df 100644
--- a/app/core/output_formatter.py
+++ b/app/core/output_formatter.py
@@ -24,7 +24,11 @@ class StreamFormatter:
 
         async for event_type, data in event_stream:
             if event_type == "floating_domain":
-                yield WsFloatingDomain(request_id=self.request_id, domain=str(data))
+                if isinstance(data, dict):
+                    yield WsFloatingDomain(
+                        request_id=self.request_id,
+                        domain=data,
+                    )
                 continue
 
             if event_type != "token":
diff --git a/app/schemas.py b/app/schemas.py
index 3005169..3f0d227 100644
--- a/app/schemas.py
+++ b/app/schemas.py
@@ -281,12 +281,20 @@ class WsStreamEnd(BaseModel):
     request_id: str
 
 
+class WsDomain(BaseModel):
+    """Structured floating domain payload for UI routing decisions."""
+
+    type: Literal["task", "timeline", "project", "node"]
+    id: str | None = None
+    section: Literal["task", "timeline", "note"] | None = None
+
+
 class WsFloatingDomain(BaseModel):
     """Server → Client: domain determined for a floating request."""
 
     type: Literal[WsFrameType.floating_domain] = WsFrameType.floating_domain
     request_id: str
-    domain: Literal["tasks", "timelines", "notes", "projects"]
+    domain: WsDomain
 
 
 # ── Agent Catalog ─────────────────────────────────────────────────────
diff --git a/tests/test_deep_agent.py b/tests/test_deep_agent.py
index 729eedc..8069aa0 100644
--- a/tests/test_deep_agent.py
+++ b/tests/test_deep_agent.py
@@ -9,7 +9,7 @@ from unittest.mock import patch
 import pytest
 from langchain_core.messages import AIMessage, ToolMessage
 
-from app.core.deep_agent import _normalize_tagged_list_lines, run_floating_stream, run_home
+from app.core.deep_agent import _infer_floating_domain, _normalize_tagged_list_lines, run_floating_stream, run_home
 
 
 class _FakeTool:
@@ -21,14 +21,18 @@ class _FakeTool:
 
 class _FakeLLM:
     def __init__(self) -> None:
-        self.calls = 0
+        self.agent_calls = 0
 
     def bind_tools(self, _tools):
         return self
 
     async def ainvoke(self, messages):
-        self.calls += 1
-        if self.calls == 1:
+        system_prompt = str(getattr(messages[0], "content", "")) if messages else ""
+        if "strict domain classifier" in system_prompt:
+            return AIMessage(content='{"type":"timeline","id":"tl-1","section":null}')
+
+        self.agent_calls += 1
+        if self.agent_calls == 1:
             return AIMessage(
                 content="",
                 tool_calls=[
@@ -77,11 +81,38 @@ async def test_run_floating_stream_emits_domain_then_tokens_with_mocked_tool_res
         ):
             events.append(event)
 
-    assert events[0] == ("floating_domain", "timelines")
+    assert events[0] == (
+        "floating_domain",
+        {"type": "timeline", "id": "tl-1", "section": None},
+    )
     assert ("token", "stream-") in events
     assert ("token", "ok") in events
 
 
+@pytest.mark.asyncio
+async def test_infer_floating_domain_prefers_message_intent_over_scope_type():
+    class _ClassifierOnlyLLM:
+        async def ainvoke(self, _messages):
+            return AIMessage(
+                content='{"type":"project","id":"213213-312321-312312-421321","section":"task"}'
+            )
+
+    with patch("app.core.deep_agent.get_llm", return_value=_ClassifierOnlyLLM()):
+        domain = await _infer_floating_domain(
+            "Quali sono i miei task per il progetto X",
+            {
+                "scope": {"type": "timeline"},
+                "resolved_project_id": "213213-312321-312312-421321",
+            },
+        )
+
+    assert domain == {
+        "type": "project",
+        "id": "213213-312321-312312-421321",
+        "section": "task",
+    }
+
+
 def test_normalize_tagged_list_lines_rewrites_mixed_task_lines_to_tag_only_lines():
     raw = (
         "Certo!\n\n"
diff --git a/tests/test_output_formatter.py b/tests/test_output_formatter.py
index 2f06f79..b9b6741 100644
--- a/tests/test_output_formatter.py
+++ b/tests/test_output_formatter.py
@@ -41,11 +41,18 @@ async def test_stream_formatter_floating_domain_first() -> None:
     formatter = StreamFormatter(request_id="req-2")
     frames = await _collect(
         formatter,
-        _stream(("floating_domain", "notes"), ("token", "Summary")),
+        _stream(
+            (
+                "floating_domain",
+                {"type": "node", "id": "n-1", "section": None},
+            ),
+            ("token", "Summary"),
+        ),
     )
 
     assert isinstance(frames[0], WsFloatingDomain)
-    assert frames[0].domain == "notes"
+    assert frames[0].domain.type == "node"
+    assert frames[0].domain.id == "n-1"
     assert isinstance(frames[1], WsStreamStart)
     assert isinstance(frames[2], WsStreamText)
     assert frames[2].chunk == "Summary"
diff --git a/tests/test_schemas_v3.py b/tests/test_schemas_v3.py
index 16dc611..a354ca3 100644
--- a/tests/test_schemas_v3.py
+++ b/tests/test_schemas_v3.py
@@ -4,6 +4,7 @@ import pytest
 from pydantic import ValidationError
 
 from app.schemas import (
+    WsDomain,
     WsFrameType,
     WsHomeRequest,
     WsFloatingDomain,
@@ -195,28 +196,47 @@ def test_stream_end_deserializes():
 
 
 def test_floating_domain_tasks():
-    frame = WsFloatingDomain(request_id="r1", domain="tasks")
+    frame = WsFloatingDomain(request_id="r1", domain=WsDomain(type="task"))
     assert frame.type == WsFrameType.floating_domain
-    assert frame.domain == "tasks"
+    assert frame.domain.type == "task"
 
 
-@pytest.mark.parametrize("domain", ["tasks", "timelines", "notes", "projects"])
-def test_floating_domain_valid_domains(domain: str):
-    frame = WsFloatingDomain(request_id="r1", domain=domain)  # type: ignore[arg-type]
-    assert frame.domain == domain
+def test_floating_domain_valid_domains():
+    frame = WsFloatingDomain(
+        request_id="r1",
+        domain=WsDomain(type="project", id="213213-312321-312312-421321", section="task"),
+    )
+    assert frame.domain.type == "project"
+    assert frame.domain.id == "213213-312321-312312-421321"
+    assert frame.domain.section == "task"
 
 
-def test_floating_domain_invalid():
-    with pytest.raises(ValidationError):
-        WsFloatingDomain(request_id="r1", domain="invalid")  # type: ignore[arg-type]
+def test_floating_domain_object_valid():
+    frame = WsFloatingDomain(
+        request_id="r1",
+        domain=WsDomain(type="project", id="p1", section="task"),
+    )
+    assert frame.domain.type == "project"
 
 
 def test_floating_domain_serializes():
-    d = WsFloatingDomain(request_id="r1", domain="notes").model_dump()
-    assert d == {"type": "floating_domain", "request_id": "r1", "domain": "notes"}
+    d = WsFloatingDomain(
+        request_id="r1",
+        domain=WsDomain(type="timeline"),
+    ).model_dump()
+    assert d == {
+        "type": "floating_domain",
+        "request_id": "r1",
+        "domain": {"type": "timeline", "id": None, "section": None},
+    }
 
 
 def test_floating_domain_deserializes():
-    raw = {"type": "floating_domain", "request_id": "r1", "domain": "projects"}
+    raw = {
+        "type": "floating_domain",
+        "request_id": "r1",
+        "domain": {"type": "node", "id": "n-1", "section": None},
+    }
     frame = WsFloatingDomain.model_validate(raw)
-    assert frame.domain == "projects"
+    assert frame.domain.type == "node"
+    assert frame.domain.id == "n-1"
diff --git a/tests/test_ws_unified.py b/tests/test_ws_unified.py
index 41fd689..2af4364 100644
--- a/tests/test_ws_unified.py
+++ b/tests/test_ws_unified.py
@@ -50,7 +50,7 @@ async def _mock_home_stream(user_id, message, context):
 
 
 async def _mock_floating_stream(user_id, message, context):
-    yield "floating_domain", "tasks"
+    yield "floating_domain", {"type": "task", "id": None, "section": None}
     yield "token", "Here is a summary"
 
 
@@ -102,7 +102,7 @@ def test_floating_request_produces_domain_frame(client):
     assert types.index(WsFrameType.floating_domain) < types.index(WsFrameType.stream_end)
 
     domain_frame = next(f for f in frames if f["type"] == WsFrameType.floating_domain)
-    assert domain_frame["domain"] == "tasks"
+    assert domain_frame["domain"]["type"] == "task"
     assert domain_frame["request_id"] == "p1"