diff --git a/src/diffusers/models/modeling_utils.py b/src/diffusers/models/modeling_utils.py
index 41b0f689d9a4..0b9fb2505a2f 100644
--- a/src/diffusers/models/modeling_utils.py
+++ b/src/diffusers/models/modeling_utils.py
@@ -198,15 +198,21 @@ def find_tensor_attributes(module: nn.Module) -> list[tuple[str, Tensor]]:
         return tuples
 
     gen = parameter._named_members(get_members_fn=find_tensor_attributes)
-    last_tuple = None
-    for tuple in gen:
-        last_tuple = tuple
-        if tuple[1].is_floating_point():
-            return tuple[1].dtype
-
-    if last_tuple is not None:
-        # fallback to the last dtype
-        return last_tuple[1].dtype
+    last_t = None
+    for t in gen:
+        last_t = t
+        if t[1].is_floating_point():
+            return t[1].dtype
+
+    if last_t is not None:
+        # fallback to the last dtype found via __dict__ inspection
+        return last_t[1].dtype
+
+    raise ValueError(
+        f"Could not determine the dtype of {parameter.__class__.__name__}: no parameters, buffers, or tensor "
+        "attributes were found. If you are using nn.DataParallel, make sure the module is moved to a device "
+        "before wrapping it (e.g. model.to('cuda') before DataParallel(model))."
+    )
 
 
 @contextmanager
diff --git a/src/diffusers/schedulers/scheduling_flow_match_euler_discrete.py b/src/diffusers/schedulers/scheduling_flow_match_euler_discrete.py
index 7b207f782079..1ffdcfdab064 100644
--- a/src/diffusers/schedulers/scheduling_flow_match_euler_discrete.py
+++ b/src/diffusers/schedulers/scheduling_flow_match_euler_discrete.py
@@ -128,6 +128,15 @@ def __init__(
         timesteps = torch.from_numpy(timesteps).to(dtype=torch.float32)
 
         sigmas = timesteps / num_train_timesteps
+
+        # Store sigma_min / sigma_max from the *unshifted* linear schedule so that
+        # set_timesteps can use them as the raw [0, 1] bounds when regenerating the
+        # sigma grid.  If they were stored after shifting, set_timesteps would feed
+        # already-shifted values back through the shift formula a second time,
+        # producing a doubly-shifted (and therefore wrong) sigma schedule (#13243).
+        self.sigma_min = sigmas[-1].item()
+        self.sigma_max = sigmas[0].item()
+
         if not use_dynamic_shifting:
             # when use_dynamic_shifting is True, we apply the timestep shifting on the fly based on the image resolution
             sigmas = shift * sigmas / (1 + (shift - 1) * sigmas)
@@ -140,8 +149,6 @@ def __init__(
         self._shift = shift
 
         self.sigmas = sigmas.to("cpu")  # to avoid too much CPU/GPU communication
-        self.sigma_min = self.sigmas[-1].item()
-        self.sigma_max = self.sigmas[0].item()
 
     @property
     def shift(self):
diff --git a/tests/schedulers/test_scheduler_flow_map_euler_discrete.py b/tests/schedulers/test_scheduler_flow_map_euler_discrete.py
index aca680746a1f..8c6dc686e257 100644
--- a/tests/schedulers/test_scheduler_flow_map_euler_discrete.py
+++ b/tests/schedulers/test_scheduler_flow_map_euler_discrete.py
@@ -187,3 +187,30 @@ def test_scale_noise_endpoints(self):
         torch.testing.assert_close(scheduler.scale_noise(sample, zero_t, noise), sample)
         full_t = torch.tensor([float(scheduler.config.num_train_timesteps)])
         torch.testing.assert_close(scheduler.scale_noise(sample, full_t, noise), noise)
+
+    def test_set_timesteps_no_double_shift(self):
+        """set_timesteps must not apply the shift formula twice (regression #13243).
+
+        When sigma_min/sigma_max were stored *after* shifting in __init__, calling
+        set_timesteps fed already-shifted values back through the shift formula a
+        second time.  After the fix the schedule produced by set_timesteps must be
+        identical to the one built in __init__ for the same number of steps.
+        """
+        shift = 3.0
+        n = 1000
+        scheduler = self.scheduler_class(**self.get_default_config(shift=shift))
+
+        # The sigmas stored in __init__ — these are the ground-truth shifted values.
+        init_sigmas = scheduler.sigmas[:-1]  # drop terminal 0 added by set_timesteps
+
+        scheduler.set_timesteps(num_inference_steps=n)
+        inferred_sigmas = scheduler.sigmas[:-1]
+
+        self.assertEqual(len(init_sigmas), len(inferred_sigmas))
+        for i, (s_init, s_infer) in enumerate(zip(init_sigmas, inferred_sigmas)):
+            self.assertAlmostEqual(
+                s_init.item(),
+                s_infer.item(),
+                places=5,
+                msg=f"sigma mismatch at index {i}: init={s_init:.6f} vs set_timesteps={s_infer:.6f}",
+            )