diff --git a/dace/frontend/fortran/ast_desugaring.py b/dace/frontend/fortran/ast_desugaring.py
index 661872bd2b..25d280e498 100644
--- a/dace/frontend/fortran/ast_desugaring.py
+++ b/dace/frontend/fortran/ast_desugaring.py
@@ -29,7 +29,7 @@
     Deallocate_Stmt, Close_Stmt, Goto_Stmt, Continue_Stmt, Format_Stmt, Stmt_Function_Stmt, Internal_Subprogram_Part, \
     Private_Components_Stmt, Generic_Spec, Language_Binding_Spec, Type_Attr_Spec, Suffix, Proc_Component_Def_Stmt, \
     Proc_Decl, End_Type_Stmt, End_Interface_Stmt, Procedure_Declaration_Stmt, Pointer_Assignment_Stmt, Cycle_Stmt, \
-    Equiv_Operand, Case_Value_Range_List
+    Equiv_Operand, Case_Value_Range_List, Ac_Value_List, Explicit_Shape_Spec_List
 from fparser.two.Fortran2008 import Procedure_Stmt, Type_Declaration_Stmt, Error_Stop_Stmt
 from fparser.two.utils import Base, walk, BinaryOpBase, UnaryOpBase, NumberBase, BlockBase
 
@@ -638,6 +638,55 @@ def _eval_real_literal(x: Union[Signed_Real_Literal_Constant, Real_Literal_Const
 
 def _const_eval_basic_type(expr: Base, alias_map: SPEC_TABLE) -> Optional[NUMPY_TYPES]:
     if isinstance(expr, (Part_Ref, Data_Ref)):
+        name_node = expr.children[0]
+        # TODO: Support multidimensional array access.
+        if (len(expr.children) > 1 and isinstance(expr.children[1], Section_Subscript_List)):
+            subsc = expr.children[1]
+            if (len(subsc.children) == 1):
+                idx = _const_eval_basic_type(subsc.children[0], alias_map)
+                if idx is None:
+                    # Array index is not constant
+                    return None
+                # This is just copied behavior from 'Name'
+                # But we need to keep track of idx, so we can't just do
+                # return _const_eval_basic_type(name_node, alias_map)
+                spec = search_real_local_alias_spec(name_node, alias_map)
+                if not spec:
+                    # Does not even have a valid identifier.
+                    return None
+                decl = alias_map[spec]
+                if not isinstance(decl, Entity_Decl):
+                    # Is not even a data entity.
+                    return None
+                # Find array declaration bounds
+                shape = singular(children_of_type(decl, Explicit_Shape_Spec_List))
+                shape = singular(children_of_type(shape, Explicit_Shape_Spec)).children
+                assert len(shape) == 2
+                assert shape[1] is not None
+                lbound = 1
+                if shape[0] is not None:
+                    lbound = _const_eval_basic_type(shape[0], alias_map)
+                ubound = _const_eval_basic_type(shape[1], alias_map)
+                if lbound is None or ubound is None:
+                    # Shape is not constant
+                    return None
+                typ = find_type_of_entity(decl, alias_map)
+                if not typ or not typ.const:
+                    # Does not have a constant type.
+                    return None
+                init = atmost_one(children_of_type(decl, Initialization))
+                _, iexpr = init.children
+                if f"{iexpr}" == 'NULL()':
+                    # We don't have good representation of "null pointer".
+                    return None
+                # Expect an Array_Constructor
+                if (isinstance(iexpr, Array_Constructor)):
+                    # Expect an Ac_Value_List
+                    _, acvall, _ = iexpr.children
+                    if (isinstance(acvall, Ac_Value_List)):
+                        assert lbound <= idx and idx <= ubound, f"Array index {idx} is out of bounds in {decl.name}"
+                        return _const_eval_basic_type(acvall.children[idx-lbound], alias_map)
+        # Fail otherwise
         return None
     elif isinstance(expr, Name):
         spec = search_real_local_alias_spec(expr, alias_map)
@@ -3623,10 +3672,14 @@ def consolidate_global_data_into_arg(ast: Program, always_add_global_data_arg: b
         if not spart:
             continue
         for tdecl in children_of_type(spart, Type_Declaration_Stmt):
-            typ, attr, _ = tdecl.children
+            typ, attr, decl = tdecl.children
             if 'PARAMETER' in f"{attr}":
-                # This is a constant which should have been propagated away already.
-                continue
+                # Parameter arrays cannot always be resolved, the indices may not be constant.
+                # Keep the array declaration but remove the PARAMETER attribute to avoid
+                # confusing the internal AST builder later.
+                attr.items = [spec for spec in attr.children if spec.string != 'PARAMETER']
+                if not attr.items:
+                    tdecl.items = (typ, None, decl)
             all_global_vars.append(tdecl.tofortran())
     all_derived_types = '\n'.join(all_derived_types)
     all_global_vars = '\n'.join(all_global_vars)
diff --git a/tests/fortran/ast_desugaring_test.py b/tests/fortran/ast_desugaring_test.py
index b9dff85461..be373fedc7 100644
--- a/tests/fortran/ast_desugaring_test.py
+++ b/tests/fortran/ast_desugaring_test.py
@@ -1732,14 +1732,20 @@ def test_constant_expression_replacement():
 contains
   subroutine foo
     implicit none
-    real :: res1, res2, res3, unk
+    real :: res1, res2, res3, res4, res5, unk
     real, parameter :: &
         x = -(three + 4.0), &
         y = -4.0, &
         z = 3.0
+    real, parameter :: arr(3) = [3, 4, 5]
+    real, parameter :: weird(-1:1) = [3, 4, 5]
     res1 = unk ** x
     res2 = unk ** y
     res3 = unk ** z
+    res4 = arr(1)
+    res5 = arr(1) + arr(2) + arr(3)
+    res4 = weird(0)
+    res5 = weird(1) + weird(0) - weird(-1)
   end subroutine foo
 end module main
 """).check_with_gfortran().get()
@@ -1755,11 +1761,17 @@ def test_constant_expression_replacement():
   CONTAINS
   SUBROUTINE foo
     IMPLICIT NONE
-    REAL :: res1, res2, res3, unk
+    REAL :: res1, res2, res3, res4, res5, unk
     REAL, PARAMETER :: x = - (7.0), y = - 4.0, z = 3.0
+    REAL, PARAMETER :: arr(3) = [3, 4, 5]
+    REAL, PARAMETER :: weird(- 1 : 1) = [3, 4, 5]
     res1 = unk ** (- 7.0)
     res2 = unk ** (- 4.0)
     res3 = unk ** 3.0
+    res4 = 3
+    res5 = 12
+    res4 = 4
+    res5 = 6
   END SUBROUTINE foo
 END MODULE main
 """.strip()