diff --git a/src/lightning_hydra_template/configs/serial_sweeper/seeds.yaml b/src/lightning_hydra_template/configs/serial_sweeper/seeds.yaml
new file mode 100644
index 000000000..abf808ed7
--- /dev/null
+++ b/src/lightning_hydra_template/configs/serial_sweeper/seeds.yaml
@@ -0,0 +1,15 @@
+# This custom sweeper tries to emulate closely the syntax of Hydra's built-in BasicSweeper
+# https://hydra.cc/docs/tutorials/basic/running_your_app/multi-run/#sweeping-via-hydrasweeperparams
+
+# The keys indicate the config nodes to sweep over, in dot-notation
+# The values define how to sweep, and have to be one of the sweep overrides defined by Hydra
+# https://hydra.cc/docs/advanced/override_grammar/extended/#sweeps
+
+params:
+  seed: range(5) # By default, sweep over 5 seeds
+  # For nested config values, use dot-notation, e.g.:
+  # model.optimizer.lr: choice(0.1,0.01,0.001)
+
+# If the experiment return a value, e.g. a performance metric, `reduce` defines how to aggregate over the sweep
+reduce:
+  _target_: numpy.nanmean
diff --git a/src/lightning_hydra_template/configs/train.yaml b/src/lightning_hydra_template/configs/train.yaml
index 566b84402..e49746af0 100644
--- a/src/lightning_hydra_template/configs/train.yaml
+++ b/src/lightning_hydra_template/configs/train.yaml
@@ -12,6 +12,9 @@ defaults:
   - paths: default
   - extras: default
   - hydra: default
+  # serial sweeper is a custom sweeper that emulates the syntax of Hydra's built-in BasicSweeper
+  # to run multiple experiments in serial in the same process, e.g. cross-validation
+  - serial_sweeper: null
 
   # experiment configs allow for version control of specific hyperparameters
   # e.g. best hyperparameters for given model and datamodule
diff --git a/src/lightning_hydra_template/utils/utils.py b/src/lightning_hydra_template/utils/utils.py
index f4260cbcc..c1fd6bceb 100644
--- a/src/lightning_hydra_template/utils/utils.py
+++ b/src/lightning_hydra_template/utils/utils.py
@@ -2,6 +2,7 @@
 import copy
 import importlib
 import itertools
+import math
 import operator
 import warnings
 from collections.abc import Callable
@@ -268,10 +269,18 @@ def wrap(cfg: DictConfig) -> float | None:
                 # Execute the task function and store the return value
                 returns.append(task_func(current_cfg))
 
-            # Try to guess if the task function is expected to return values
-            # Warn the user if a mix of values/None are returned
-            if 0 < sum(return_val is None for return_val in returns) < len(returns):
-                warning_msg = (
+            # If task function returns None across the sweep, skip aggregation and warn the user
+            if all(return_val is None for return_val in returns):
+                log.warning(
+                    "All iterations of <cfg.serial_sweeper> returned None! \n"
+                    "If you don't need to locally aggregate return values of the sweep (e.g. for hyperparameter "
+                    "optimization), consider switching to Hydra's built-in sweepers."
+                )
+                return None
+
+            # If some runs seem to have failed, warn the user
+            if 0 < sum(return_val is None or math.isnan(return_val) for return_val in returns) < len(returns):
+                log.warning(
                     "None returned for some iterations of <cfg.serial_sweeper>! \n"
                     "Return values for the sweep are: \n"
                     + "\n".join(
@@ -279,8 +288,6 @@ def wrap(cfg: DictConfig) -> float | None:
                     )
                 )
 
-                log.warning(warning_msg)
-
             # Reduce the return values from the sweep to a single value
             return call(serial_sweeper_cfg.reduce, returns)
 
diff --git a/tests/test_sweeps.py b/tests/test_sweeps.py
index 0af7f2293..243512a3e 100644
--- a/tests/test_sweeps.py
+++ b/tests/test_sweeps.py
@@ -64,3 +64,20 @@ def test_optuna_sweep(tmp_path: Path) -> None:
         "++trainer.fast_dev_run=true",
     ] + overrides
     run_sh_command(command)
+
+
+@RunIf(sh=True)
+@pytest.mark.slow
+def test_serial_sweep(tmp_path: Path) -> None:
+    """Test single-process serial sweeping.
+
+    Args:
+        tmp_path: The temporary logging path.
+    """
+    command = [
+        startfile,
+        "serial_sweeper=seeds",
+        "hydra.run.dir=" + str(tmp_path),
+        "++trainer.fast_dev_run=true",
+    ] + overrides
+    run_sh_command(command)