diff --git a/pglast/visitors.py b/pglast/visitors.py
index 1cb96d7..127d7cb 100644
--- a/pglast/visitors.py
+++ b/pglast/visitors.py
@@ -349,17 +349,20 @@ class RelationNames(Visitor):
     relations referenced by the given :class:`node <pglast.ast.Node>`.
     """
 
+    class CTENames(Visitor):
+        def __call__(self, node):
+            self.ctenames = set()
+            super().__call__(node)
+            return self.ctenames
+
+        def visit_CommonTableExpr(self, ancestors, node):
+            self.ctenames.add(node.ctename)
+
     def __call__(self, node):
-        self.ctenames = set()
+        self.ctenames = self.CTENames()(node)
         self.rnames = set()
-        self.ctes_rnames = set()
         super().__call__(node)
-        return (self.rnames - self.ctenames).union(self.ctes_rnames)
-
-    def visit_CommonTableExpr(self, ancestors, node):
-        "Collect CTE names."
-
-        self.ctenames.add(node.ctename)
+        return self.rnames
 
     def visit_DropStmt(self, ancestors, node):
         from .enums import ObjectType
@@ -370,7 +373,7 @@ def visit_DropStmt(self, ancestors, node):
                 self.rnames.add('.'.join(maybe_double_quote_name(n.val) for n in obj))
 
     def visit_RangeVar(self, ancestors, node):
-        "Collect relation names."
+        "Collect relation names, taking into account defined CTE names"
 
         from .stream import maybe_double_quote_name
 
@@ -382,10 +385,17 @@ def visit_RangeVar(self, ancestors, node):
         if node.catalogname:
             tname = f'{maybe_double_quote_name(node.catalogname)}.{tname}'
 
-        if ast.CommonTableExpr in ancestors:
-            self.ctes_rnames.add(tname)
-        else:
+        if tname not in self.ctenames:
             self.rnames.add(tname)
+        else:
+            # If the name is within a non-recursive CTE and matches its name,
+            # then it is a concrete relation
+            nearest_cte = ancestors.find_nearest(ast.CommonTableExpr)
+            if nearest_cte is not None:
+                with_clause = nearest_cte.find_nearest(ast.WithClause)
+                if not with_clause.node.recursive:
+                    if tname == nearest_cte.node.ctename:
+                        self.rnames.add(tname)
 
 
 def referenced_relations(stmt):
diff --git a/tests/test_visitors.py b/tests/test_visitors.py
index dc569ea..61b1a48 100644
--- a/tests/test_visitors.py
+++ b/tests/test_visitors.py
@@ -26,6 +26,21 @@
      {'"my.schema".bar', 'bar."my.table"', '"foo.bar"'}),
     ('with my_ref as (select * from my_ref where a=1) select * from my_ref',
      {'my_ref'}),
+    ('with cte1 as (select 1), cte2 as (select * from cte1) select * from cte2',
+     set()),
+    ('''
+     with recursive t(n) as (values (1) union all select n+1 from t where n < 100)
+     select sum(n) from t
+     ''', set()),
+    ('''
+     with cte1 as (select 1)
+       select * from (with cte2 as (select * from cte1)
+                        select * from cte2) as a
+     ''', set()),
+    ('''
+     with to_archive as (delete from products where date < '2010-11-01' returning *)
+       insert into products_log select * from to_archive
+     ''', {'products', 'products_log'}),
 ))
 def test_referenced_tables(stmt, rnames):
     assert visitors.referenced_relations(stmt) == rnames