diff --git a/homeassistant/components/conversation/default_agent.py b/homeassistant/components/conversation/default_agent.py
index da77fc1ccb6..2fe016351d6 100644
--- a/homeassistant/components/conversation/default_agent.py
+++ b/homeassistant/components/conversation/default_agent.py
@@ -358,7 +358,7 @@ class DefaultAgent(ConversationEntity):
         except intent.MatchFailedError as match_error:
             # Intent was valid, but no entities matched the constraints.
             error_response_type, error_response_args = _get_match_error_response(
-                match_error
+                self.hass, match_error
             )
             return _make_error_result(
                 language,
@@ -1037,6 +1037,7 @@ def _get_unmatched_response(result: RecognizeResult) -> tuple[ErrorKey, dict[str
 
 
 def _get_match_error_response(
+    hass: core.HomeAssistant,
     match_error: intent.MatchFailedError,
 ) -> tuple[ErrorKey, dict[str, Any]]:
     """Return key and template arguments for error when target matching fails."""
@@ -1103,6 +1104,23 @@ def _get_match_error_response(
         # Invalid floor name
         return ErrorKey.NO_FLOOR, {"floor": result.no_match_name}
 
+    if reason == intent.MatchFailedReason.FEATURE:
+        # Feature not supported by entity
+        return ErrorKey.FEATURE_NOT_SUPPORTED, {}
+
+    if reason == intent.MatchFailedReason.STATE:
+        # Entity is not in correct state
+        assert match_error.constraints.states
+        state = next(iter(match_error.constraints.states))
+        if match_error.constraints.domains:
+            # Translate if domain is available
+            domain = next(iter(match_error.constraints.domains))
+            state = translation.async_translate_state(
+                hass, state, domain, None, None, None
+            )
+
+        return ErrorKey.ENTITY_WRONG_STATE, {"state": state}
+
     # Default error
     return ErrorKey.NO_INTENT, {}
 
diff --git a/homeassistant/components/conversation/manifest.json b/homeassistant/components/conversation/manifest.json
index b42a4c5004f..d69a65b9c6e 100644
--- a/homeassistant/components/conversation/manifest.json
+++ b/homeassistant/components/conversation/manifest.json
@@ -6,5 +6,5 @@
   "documentation": "https://www.home-assistant.io/integrations/conversation",
   "integration_type": "system",
   "quality_scale": "internal",
-  "requirements": ["hassil==1.7.1", "home-assistant-intents==2024.4.24"]
+  "requirements": ["hassil==1.7.1", "home-assistant-intents==2024.5.28"]
 }
diff --git a/homeassistant/package_constraints.txt b/homeassistant/package_constraints.txt
index 113a4b551b2..0416b3ae4cf 100644
--- a/homeassistant/package_constraints.txt
+++ b/homeassistant/package_constraints.txt
@@ -33,7 +33,7 @@ hass-nabucasa==0.81.0
 hassil==1.7.1
 home-assistant-bluetooth==1.12.0
 home-assistant-frontend==20240501.1
-home-assistant-intents==2024.4.24
+home-assistant-intents==2024.5.28
 httpx==0.27.0
 ifaddr==0.2.0
 Jinja2==3.1.4
diff --git a/requirements_all.txt b/requirements_all.txt
index 584a73d73ef..b2a0f0619e3 100644
--- a/requirements_all.txt
+++ b/requirements_all.txt
@@ -1090,7 +1090,7 @@ holidays==0.49
 home-assistant-frontend==20240501.1
 
 # homeassistant.components.conversation
-home-assistant-intents==2024.4.24
+home-assistant-intents==2024.5.28
 
 # homeassistant.components.home_connect
 homeconnect==0.7.2
diff --git a/requirements_test_all.txt b/requirements_test_all.txt
index 5c84250f985..ac1ec6795e6 100644
--- a/requirements_test_all.txt
+++ b/requirements_test_all.txt
@@ -892,7 +892,7 @@ holidays==0.49
 home-assistant-frontend==20240501.1
 
 # homeassistant.components.conversation
-home-assistant-intents==2024.4.24
+home-assistant-intents==2024.5.28
 
 # homeassistant.components.home_connect
 homeconnect==0.7.2
diff --git a/tests/components/conversation/test_default_agent.py b/tests/components/conversation/test_default_agent.py
index 648a7d572ef..659ee8794b8 100644
--- a/tests/components/conversation/test_default_agent.py
+++ b/tests/components/conversation/test_default_agent.py
@@ -6,13 +6,18 @@ from unittest.mock import AsyncMock, patch
 from hassil.recognize import Intent, IntentData, MatchEntity, RecognizeResult
 import pytest
 
-from homeassistant.components import conversation, cover
+from homeassistant.components import conversation, cover, media_player
 from homeassistant.components.conversation import default_agent
 from homeassistant.components.homeassistant.exposed_entities import (
     async_get_assistant_settings,
 )
+from homeassistant.components.intent import (
+    TimerEventType,
+    TimerInfo,
+    async_register_timer_handler,
+)
 from homeassistant.const import ATTR_DEVICE_CLASS, ATTR_FRIENDLY_NAME, STATE_CLOSED
-from homeassistant.core import DOMAIN as HASS_DOMAIN, Context, HomeAssistant
+from homeassistant.core import DOMAIN as HASS_DOMAIN, Context, HomeAssistant, callback
 from homeassistant.helpers import (
     area_registry as ar,
     device_registry as dr,
@@ -792,6 +797,141 @@ async def test_error_duplicate_names_in_area(
         )
 
 
+async def test_error_wrong_state(hass: HomeAssistant, init_components) -> None:
+    """Test error message when no entities are in the correct state."""
+    assert await async_setup_component(hass, media_player.DOMAIN, {})
+
+    hass.states.async_set(
+        "media_player.test_player",
+        media_player.STATE_IDLE,
+        {ATTR_FRIENDLY_NAME: "test player"},
+    )
+    expose_entity(hass, "media_player.test_player", True)
+
+    result = await conversation.async_converse(
+        hass, "pause test player", None, Context(), None
+    )
+
+    assert result.response.response_type == intent.IntentResponseType.ERROR
+    assert result.response.error_code == intent.IntentResponseErrorCode.NO_VALID_TARGETS
+    assert result.response.speech["plain"]["speech"] == "Sorry, no device is playing"
+
+
+async def test_error_feature_not_supported(
+    hass: HomeAssistant, init_components
+) -> None:
+    """Test error message when no devices support a required feature."""
+    assert await async_setup_component(hass, media_player.DOMAIN, {})
+
+    hass.states.async_set(
+        "media_player.test_player",
+        media_player.STATE_PLAYING,
+        {ATTR_FRIENDLY_NAME: "test player"},
+        # missing VOLUME_SET feature
+    )
+    expose_entity(hass, "media_player.test_player", True)
+
+    result = await conversation.async_converse(
+        hass, "set test player volume to 100%", None, Context(), None
+    )
+
+    assert result.response.response_type == intent.IntentResponseType.ERROR
+    assert result.response.error_code == intent.IntentResponseErrorCode.NO_VALID_TARGETS
+    assert (
+        result.response.speech["plain"]["speech"]
+        == "Sorry, no device supports the required features"
+    )
+
+
+async def test_error_no_timer_support(hass: HomeAssistant, init_components) -> None:
+    """Test error message when a device does not support timers (no handler is registered)."""
+    device_id = "test_device"
+
+    # No timer handler is registered for the device
+    result = await conversation.async_converse(
+        hass, "pause timer", None, Context(), None, device_id=device_id
+    )
+
+    assert result.response.response_type == intent.IntentResponseType.ERROR
+    assert result.response.error_code == intent.IntentResponseErrorCode.FAILED_TO_HANDLE
+    assert (
+        result.response.speech["plain"]["speech"]
+        == "Sorry, timers are not supported on this device"
+    )
+
+
+async def test_error_timer_not_found(hass: HomeAssistant, init_components) -> None:
+    """Test error message when a timer cannot be matched."""
+    device_id = "test_device"
+
+    @callback
+    def handle_timer(event_type: TimerEventType, timer: TimerInfo) -> None:
+        pass
+
+    # Register a handler so the device "supports" timers
+    async_register_timer_handler(hass, device_id, handle_timer)
+
+    result = await conversation.async_converse(
+        hass, "pause timer", None, Context(), None, device_id=device_id
+    )
+
+    assert result.response.response_type == intent.IntentResponseType.ERROR
+    assert result.response.error_code == intent.IntentResponseErrorCode.FAILED_TO_HANDLE
+    assert (
+        result.response.speech["plain"]["speech"] == "Sorry, I couldn't find that timer"
+    )
+
+
+async def test_error_multiple_timers_matched(
+    hass: HomeAssistant,
+    init_components,
+    area_registry: ar.AreaRegistry,
+    device_registry: dr.DeviceRegistry,
+) -> None:
+    """Test error message when an intent would target multiple timers."""
+    area_kitchen = area_registry.async_create("kitchen")
+
+    # Starting a timer requires a device in an area
+    entry = MockConfigEntry()
+    entry.add_to_hass(hass)
+    device_kitchen = device_registry.async_get_or_create(
+        config_entry_id=entry.entry_id,
+        connections=set(),
+        identifiers={("demo", "device-kitchen")},
+    )
+    device_registry.async_update_device(device_kitchen.id, area_id=area_kitchen.id)
+    device_id = device_kitchen.id
+
+    @callback
+    def handle_timer(event_type: TimerEventType, timer: TimerInfo) -> None:
+        pass
+
+    # Register a handler so the device "supports" timers
+    async_register_timer_handler(hass, device_id, handle_timer)
+
+    # Create two identical timers from the same device
+    result = await conversation.async_converse(
+        hass, "set a timer for 5 minutes", None, Context(), None, device_id=device_id
+    )
+    assert result.response.response_type == intent.IntentResponseType.ACTION_DONE
+
+    result = await conversation.async_converse(
+        hass, "set a timer for 5 minutes", None, Context(), None, device_id=device_id
+    )
+    assert result.response.response_type == intent.IntentResponseType.ACTION_DONE
+
+    # Cannot target multiple timers
+    result = await conversation.async_converse(
+        hass, "cancel timer", None, Context(), None, device_id=device_id
+    )
+    assert result.response.response_type == intent.IntentResponseType.ERROR
+    assert result.response.error_code == intent.IntentResponseErrorCode.FAILED_TO_HANDLE
+    assert (
+        result.response.speech["plain"]["speech"]
+        == "Sorry, I am unable to target multiple timers"
+    )
+
+
 async def test_no_states_matched_default_error(
     hass: HomeAssistant, init_components, area_registry: ar.AreaRegistry
 ) -> None:
diff --git a/tests/components/conversation/test_default_agent_intents.py b/tests/components/conversation/test_default_agent_intents.py
index 16b0ccf3107..f5050f4483e 100644
--- a/tests/components/conversation/test_default_agent_intents.py
+++ b/tests/components/conversation/test_default_agent_intents.py
@@ -234,7 +234,7 @@ async def test_media_player_intents(
 
     response = result.response
     assert response.response_type == intent.IntentResponseType.ACTION_DONE
-    assert response.speech["plain"]["speech"] == "Unpaused"
+    assert response.speech["plain"]["speech"] == "Resumed"
     assert len(calls) == 1
     call = calls[0]
     assert call.data == {"entity_id": entity_id}