diff --git a/src/gemseo/algos/doe/base_doe_library.py b/src/gemseo/algos/doe/base_doe_library.py
index 6e829040308490634d0e25bd0e32e43e21d65ff8..81bddcbe409e5f1fbf8211cc022dcd4df1587720 100644
--- a/src/gemseo/algos/doe/base_doe_library.py
+++ b/src/gemseo/algos/doe/base_doe_library.py
@@ -286,8 +286,8 @@ class BaseDOELibrary(BaseDriverLibrary, Serializable):
                     callback(index, result)
             except ValueError:  # noqa: PERF203
                 LOGGER.exception(
-                    "Problem with evaluation of sample:"
-                    "%s result is not taken into account in DOE.",
+                    "The evaluation of the functions at point %s raised a"
+                    " ValueError; skipping to the next point.",
                     input_value,
                 )
 
diff --git a/tests/algos/doe/test_doe_lib.py b/tests/algos/doe/test_doe_lib.py
index 592ca98e5b6e079d1827564b7765cafdb00c0a67..611ae91e3f39d50f406580c394b6a9eeaa75bde3 100644
--- a/tests/algos/doe/test_doe_lib.py
+++ b/tests/algos/doe/test_doe_lib.py
@@ -543,3 +543,49 @@ def test_eval_func_and_eval_jac(eval_func, eval_jac):
     name = "pow2"
     assert (name in last_item) is eval_func
     assert (database.get_gradient_name(name) in last_item) is eval_jac
+
+
+class _DummyDiscValueError(Discipline):
+    default_grammar_type = Discipline.GrammarType.SIMPLE
+
+    def __init__(self) -> None:
+        super().__init__("foo")
+        self.input_grammar.update_from_names("x")
+        self.output_grammar.update_from_names(("z", "t"))
+        self.output_grammar.update_from_types({
+            "z": ndarray,
+            "t": ndarray,
+        })
+
+    def _run(self, input_data: StrKeyMapping):
+        x = input_data["x"]
+        if x < 0:
+            msg = "The sample is undefined for x < 0."
+            raise ValueError(msg)
+        return {"z": array([sum(x)]), "t": 2 * x + 3}
+
+
+@pytest.mark.parametrize("formulation", ["MDF", "DisciplinaryOpt", "IDF"])
+def test_value_error_filtering(formulation, caplog):
+    """Test that the DOELibrary can skip a sample that raises a ``ValueError``."""
+    caplog.set_level("ERROR")
+    design_space = DesignSpace()
+    design_space.add_variable("x", lower_bound=-1.0, upper_bound=1.0)
+
+    scenario = create_scenario(
+        [_DummyDiscValueError()],
+        "z",
+        design_space,
+        scenario_type="DOE",
+        formulation_name=formulation,
+    )
+    custom_doe_settings = CustomDOE_Settings(samples=array([[1.0], [-1.0], [0.0]]))
+    scenario.execute(custom_doe_settings)
+    assert len(scenario.formulation.optimization_problem.database) == 2
+    driver_message = (
+        "The evaluation of the functions at point [-1.] raised a ValueError; "
+        "skipping to the next point."
+    )
+    assert driver_message in caplog.text
+    discipline_message = "The sample is undefined for x < 0."
+    assert discipline_message in caplog.text