diff --git a/var/spack/repos/builtin/packages/paraview/package.py b/var/spack/repos/builtin/packages/paraview/package.py
index 4790f8dfe33..e40636e7728 100644
--- a/var/spack/repos/builtin/packages/paraview/package.py
+++ b/var/spack/repos/builtin/packages/paraview/package.py
@@ -384,6 +384,12 @@ class Paraview(CMakePackage, CudaPackage, ROCmPackage):
 
     patch("kits_with_catalyst_5_12.patch", when="@5.12.0")
 
+    # https://github.com/Kitware/VTK-m/commit/c805a6039ea500cb96158cfc11271987c9f67aa4
+    patch("vtkm-remove-unused-method-from-mir-tables.patch", when="@5.13.2 %oneapi@2025:")
+
+    # https://github.com/Kitware/VTK-m/commit/48e385af319543800398656645327243a29babfb
+    patch("vtkm-fix-problems-in-class-member-names.patch", when="@5.13.2 %oneapi@2025:")
+
     generator("ninja", "make", default="ninja")
     # https://gitlab.kitware.com/paraview/paraview/-/issues/21223
     conflicts("generator=ninja", when="%xl")
@@ -438,6 +444,10 @@ def flag_handler(self, name, flags):
                 if self.spec["hdf5"].satisfies("@1.12:"):
                     flags.append("-DH5_USE_110_API")
 
+            if self.spec.satisfies("%oneapi@2025:"):
+                flags.append("-Wno-error=missing-template-arg-list-after-template-kw")
+                flags.append("-Wno-missing-template-arg-list-after-template-kw")
+
         return flags, None, None
 
     def setup_run_environment(self, env):
diff --git a/var/spack/repos/builtin/packages/paraview/vtkm-fix-problems-in-class-member-names.patch b/var/spack/repos/builtin/packages/paraview/vtkm-fix-problems-in-class-member-names.patch
new file mode 100644
index 00000000000..c96e97c5875
--- /dev/null
+++ b/var/spack/repos/builtin/packages/paraview/vtkm-fix-problems-in-class-member-names.patch
@@ -0,0 +1,22 @@
+diff --git a/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/scalar_topology/worklet/contourtree_distributed/HierarchicalContourTree.h b/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/scalar_topology/worklet/contourtree_distributed/HierarchicalContourTree.h
+index acd5eca2b..5a23705db 100644
+--- a/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/scalar_topology/worklet/contourtree_distributed/HierarchicalContourTree.h
++++ b/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/scalar_topology/worklet/contourtree_distributed/HierarchicalContourTree.h
+@@ -663,7 +663,7 @@ std::string HierarchicalContourTree<FieldType>::PrintDotSuperStructure(const cha
+   auto hyperarcsPortal = this->Hyperarcs.ReadPortal();
+   auto regularNodeGlobalIdsPortal = this->RegularNodeGlobalIds.ReadPortal();
+   auto whichIterationPortal = this->WhichIteration.ReadPortal();
+-  auto whichRoundPortal = this->whichRound.ReadPortal();
++  auto whichRoundPortal = this->WhichRound.ReadPortal();
+   auto superarcsPortal = this->Superarcs.ReadPortal();
+   auto superparentsPortal = this->Superparents.ReadPortal();
+   for (vtkm::Id supernode = 0; supernode < this->Supernodes.GetNumberOfValues(); supernode++)
+@@ -708,7 +708,7 @@ std::string HierarchicalContourTree<FieldType>::PrintDotSuperStructure(const cha
+     if (contourtree_augmented::NoSuchElement(superarcTo))
+     { // no superarc
+       // if it occurred on the final round, it's the global root and is shown as the NULL node
+-      if (whichRoundPortal.Get(superarcFrom) == this->NRounds)
++      if (whichRoundPortal.Get(superarcFrom) == this->NumRounds)
+       { // root node
+         outstream << "\tSN" << std::setw(1) << superarcFrom << " -> SA" << std::setw(1) << superarc
+                   << " [label=\"S" << std::setw(1) << superarc << "\",style=dotted]\n";
\ No newline at end of file
diff --git a/var/spack/repos/builtin/packages/paraview/vtkm-remove-unused-method-from-mir-tables.patch b/var/spack/repos/builtin/packages/paraview/vtkm-remove-unused-method-from-mir-tables.patch
new file mode 100644
index 00000000000..fba97e47623
--- /dev/null
+++ b/var/spack/repos/builtin/packages/paraview/vtkm-remove-unused-method-from-mir-tables.patch
@@ -0,0 +1,16 @@
+diff --git a/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/contour/worklet/mir/MIRTables.h b/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/contour/worklet/mir/MIRTables.h
+index 3dff3329e..a6f4d4f1f 100644
+--- a/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/contour/worklet/mir/MIRTables.h
++++ b/VTK/ThirdParty/vtkm/vtkvtkm/vtk-m/vtkm/filter/contour/worklet/mir/MIRTables.h
+@@ -11400,11 +11400,6 @@ public:
+       return FacesLookup[shape];
+     }
+ 
+-    VTKM_EXEC vtkm::UInt8 GetPoint(vtkm::Id pointIndex) const
+-    {
+-      return this->CellFacePortal.Get(pointIndex);
+-    }
+-
+   private:
+     typename vtkm::cont::ArrayHandle<vtkm::UInt8>::ReadPortalType MIRTablesDataPortal;
+     typename vtkm::cont::ArrayHandle<vtkm::UInt16>::ReadPortalType MIRTablesIndicesPortal;
\ No newline at end of file