diff --git a/src/apify/_actor.py b/src/apify/_actor.py
index 73e1be7c..b8fcdc05 100644
--- a/src/apify/_actor.py
+++ b/src/apify/_actor.py
@@ -4,7 +4,7 @@
 import os
 import sys
 from contextlib import suppress
-from datetime import timedelta
+from datetime import datetime, timedelta, timezone
 from typing import TYPE_CHECKING, Any, Callable, Literal, TypeVar, cast, overload
 
 from lazy_object_proxy import Proxy
@@ -693,7 +693,7 @@ async def start(
         content_type: str | None = None,
         build: str | None = None,
         memory_mbytes: int | None = None,
-        timeout: timedelta | None = None,
+        timeout: timedelta | None | Literal['RemainingTime'] = None,
         wait_for_finish: int | None = None,
         webhooks: list[Webhook] | None = None,
     ) -> ActorRun:
@@ -711,7 +711,8 @@ async def start(
             memory_mbytes: Memory limit for the run, in megabytes. By default, the run uses a memory limit specified
                 in the default run configuration for the Actor.
             timeout: Optional timeout for the run, in seconds. By default, the run uses timeout specified in
-                the default run configuration for the Actor.
+                the default run configuration for the Actor. Using `RemainingTime` will set timeout of the other Actor
+                to the time remaining from this Actor timeout.
             wait_for_finish: The maximum number of seconds the server waits for the run to finish. By default,
                 it is 0, the maximum value is 300.
             webhooks: Optional ad-hoc webhooks (https://docs.apify.com/webhooks/ad-hoc-webhooks) associated with
@@ -732,18 +733,39 @@ async def start(
         else:
             serialized_webhooks = None
 
+        if timeout == 'RemainingTime':
+            actor_start_timeout = self._get_remaining_time()
+        elif timeout is None:
+            actor_start_timeout = None
+        elif isinstance(timeout, timedelta):
+            actor_start_timeout = timeout
+        else:
+            raise ValueError(f'Invalid timeout {timeout!r}: expected `None`, `"RemainingTime"`, or a `timedelta`.')
+
         api_result = await client.actor(actor_id).start(
             run_input=run_input,
             content_type=content_type,
             build=build,
             memory_mbytes=memory_mbytes,
-            timeout_secs=int(timeout.total_seconds()) if timeout is not None else None,
+            timeout_secs=int(actor_start_timeout.total_seconds()) if actor_start_timeout is not None else None,
             wait_for_finish=wait_for_finish,
             webhooks=serialized_webhooks,
         )
 
         return ActorRun.model_validate(api_result)
 
+    def _get_remaining_time(self) -> timedelta | None:
+        """Get time remaining from the actor timeout. Returns `None` if not on an Apify platform."""
+        if self.is_at_home() and self.configuration.timeout_at:
+            return self.configuration.timeout_at - datetime.now(tz=timezone.utc)
+
+        self.log.warning(
+            'Returning `None` instead of remaining time. Using `RemainingTime` argument is only possible when the Actor'
+            ' is running on the Apify platform and when the timeout for the Actor run is set. '
+            f'{self.is_at_home()=}, {self.configuration.timeout_at=}'
+        )
+        return None
+
     async def abort(
         self,
         run_id: str,
@@ -787,7 +809,7 @@ async def call(
         content_type: str | None = None,
         build: str | None = None,
         memory_mbytes: int | None = None,
-        timeout: timedelta | None = None,
+        timeout: timedelta | None | Literal['RemainingTime'] = None,
         webhooks: list[Webhook] | None = None,
         wait: timedelta | None = None,
     ) -> ActorRun | None:
@@ -805,7 +827,8 @@ async def call(
             memory_mbytes: Memory limit for the run, in megabytes. By default, the run uses a memory limit specified
                 in the default run configuration for the Actor.
             timeout: Optional timeout for the run, in seconds. By default, the run uses timeout specified in
-                the default run configuration for the Actor.
+                the default run configuration for the Actor. Using `RemainingTime` will set timeout of the other Actor
+                to the time remaining from this Actor timeout.
             webhooks: Optional webhooks (https://docs.apify.com/webhooks) associated with the Actor run, which can
                 be used to receive a notification, e.g. when the Actor finished or failed. If you already have
                 a webhook set up for the Actor, you do not have to add it again here.
@@ -826,12 +849,21 @@ async def call(
         else:
             serialized_webhooks = None
 
+        if timeout == 'RemainingTime':
+            actor_call_timeout = self._get_remaining_time()
+        elif timeout is None:
+            actor_call_timeout = None
+        elif isinstance(timeout, timedelta):
+            actor_call_timeout = timeout
+        else:
+            raise ValueError(f'Invalid timeout {timeout!r}: expected `None`, `"RemainingTime"`, or a `timedelta`.')
+
         api_result = await client.actor(actor_id).call(
             run_input=run_input,
             content_type=content_type,
             build=build,
             memory_mbytes=memory_mbytes,
-            timeout_secs=int(timeout.total_seconds()) if timeout is not None else None,
+            timeout_secs=int(actor_call_timeout.total_seconds()) if actor_call_timeout is not None else None,
             webhooks=serialized_webhooks,
             wait_secs=int(wait.total_seconds()) if wait is not None else None,
         )
diff --git a/tests/integration/test_actor_call_timeouts.py b/tests/integration/test_actor_call_timeouts.py
new file mode 100644
index 00000000..c60ca93a
--- /dev/null
+++ b/tests/integration/test_actor_call_timeouts.py
@@ -0,0 +1,105 @@
+from __future__ import annotations
+
+import asyncio
+from typing import TYPE_CHECKING
+
+from apify import Actor
+
+if TYPE_CHECKING:
+    from .conftest import MakeActorFunction, RunActorFunction
+
+
+async def test_actor_start_remaining_timeout(
+    make_actor: MakeActorFunction,
+    run_actor: RunActorFunction,
+) -> None:
+    """Test that correct timeout is set when using `RemainingTime` value for the `timeout` argument.
+
+    In this test, one Actor starts itself again and checks that the timeout is correctly set on the second Actor run.
+    Timeout should be the remaining time of the first Actor run calculated at the moment of the other Actor start."""
+
+    async def main() -> None:
+        from datetime import datetime, timezone
+
+        async with Actor:
+            actor_input = (await Actor.get_input()) or {}
+            if actor_input.get('called_from_another_actor', False) is True:
+                # If this Actor run was started with a specific argument (the second Actor run), return immediately.
+                # Asserts checking the timeout are in the first Actor run.
+                return
+
+            # Start another run of this actor with timeout set to the time remaining in this actor run
+            other_run_data = await Actor.call(
+                actor_id=Actor.configuration.actor_id or '',
+                run_input={'called_from_another_actor': True},
+                timeout='RemainingTime',
+            )
+            assert other_run_data is not None
+            try:
+                # To make sure that the actor is started
+                await asyncio.sleep(5)
+                assert other_run_data.options is not None
+                assert Actor.configuration.timeout_at is not None
+                assert Actor.configuration.started_at is not None
+
+                remaining_time_after_actor_start = Actor.configuration.timeout_at - datetime.now(tz=timezone.utc)
+
+                assert other_run_data.options.timeout > remaining_time_after_actor_start
+                assert other_run_data.options.timeout < Actor.configuration.timeout_at - Actor.configuration.started_at
+            finally:
+                # Make sure the other actor run is aborted
+                await Actor.apify_client.run(other_run_data.id).abort()
+
+    actor = await make_actor(label='remaining-timeout', main_func=main)
+    run_result = await run_actor(actor)
+
+    assert run_result.status == 'SUCCEEDED'
+
+
+async def test_actor_call_remaining_timeout(
+    make_actor: MakeActorFunction,
+    run_actor: RunActorFunction,
+) -> None:
+    """Test that correct timeout is set when using `RemainingTime` value for the `timeout` argument.
+
+    In this test, one Actor starts itself again and checks that the timeout is correctly set on the second Actor run.
+    Timeout should be the remaining time of the first Actor run calculated at the moment of the other Actor call."""
+
+    async def main() -> None:
+        from datetime import datetime, timezone
+
+        async with Actor:
+            actor_input = (await Actor.get_input()) or {}
+            if actor_input.get('called_from_another_actor', False) is True:
+                # If this Actor run was started with a specific argument (the second Actor run), return immediately.
+                # Asserts checking the timeout are in the first Actor run.
+                return
+
+            # Start another run of this actor with timeout set to the time remaining in this actor run
+            other_run_data = await Actor.call(
+                actor_id=Actor.configuration.actor_id or '',
+                run_input={'called_from_another_actor': True},
+                timeout='RemainingTime',
+            )
+
+            assert other_run_data is not None
+            try:
+                # To make sure that the actor is started
+                await asyncio.sleep(5)
+
+                assert other_run_data.options is not None
+                assert Actor.configuration.timeout_at is not None
+                assert Actor.configuration.started_at is not None
+
+                remaining_time_after_actor_start = Actor.configuration.timeout_at - datetime.now(tz=timezone.utc)
+
+                assert other_run_data.options.timeout > remaining_time_after_actor_start
+                assert other_run_data.options.timeout < Actor.configuration.timeout_at - Actor.configuration.started_at
+            finally:
+                # Make sure the other actor run is aborted
+                await Actor.apify_client.run(other_run_data.id).abort()
+
+    actor = await make_actor(label='remaining-timeout', main_func=main)
+    run_result = await run_actor(actor)
+
+    assert run_result.status == 'SUCCEEDED'