diff --git a/ebos/eclgenericproblem.hh b/ebos/eclgenericproblem.hh
index f4105b9c4..e83af70c7 100644
--- a/ebos/eclgenericproblem.hh
+++ b/ebos/eclgenericproblem.hh
@@ -377,6 +377,15 @@ protected:
     using LookUpData = Opm::LookUpData<Grid,GridView>;
     const LookUpData lookUpData_;
 
+    // \brief Function to assign the origin cell index on level zero, for a cell on the leaf grid view.
+    //
+    // For CpGrid with local grid refinement, the field property of a cell on the leaf
+    // is inherited from its parent or equivalent (when has no parent) cell on level zero.
+    std::function<unsigned(unsigned)> lookupIdxOnLevelZeroAssigner_()
+    {
+        return [this](unsigned elemIdx) { return lookUpData_.template getFieldPropIdx<Grid>(elemIdx);};
+    }
+
 private:
     template<class T>
     void updateNum(const std::string& name, std::vector<T>& numbers, std::size_t num_regions);
diff --git a/ebos/eclproblem.hh b/ebos/eclproblem.hh
index f740ca44c..4de6bb3c2 100644
--- a/ebos/eclproblem.hh
+++ b/ebos/eclproblem.hh
@@ -2018,7 +2018,8 @@ protected:
         materialLawManager_ = std::make_shared<EclMaterialLawManager>();
         materialLawManager_->initFromState(eclState);
         materialLawManager_->initParamsForElements(eclState, this->model().numGridDof(),
-                                                   this-> template fieldPropIntTypeOnLeafAssigner_<int>());
+                                                   this-> template fieldPropIntTypeOnLeafAssigner_<int>(),
+                                                   this-> lookupIdxOnLevelZeroAssigner_());
         ////////////////////////////////
     }