diff --git a/lib/tokenize.cpp b/lib/tokenize.cpp
index 7976e7f0c..9f7173003 100644
--- a/lib/tokenize.cpp
+++ b/lib/tokenize.cpp
@@ -3482,8 +3482,8 @@ static bool setVarIdParseDeclaration(const Token **tok, const std::map<std::stri
                 hasstruct = true;
                 typeCount = 0;
                 singleNameCount = 0;
-            } else if (tok2->str() == "const") {
-                // just skip "const"
+            } else if (Token::Match(tok2, "const|extern")) {
+                // just skip "const", "extern"
             } else if (!hasstruct && variableId.find(tok2->str()) != variableId.end() && tok2->previous()->str() != "::") {
                 ++typeCount;
                 tok2 = tok2->next();
@@ -3521,6 +3521,8 @@ static bool setVarIdParseDeclaration(const Token **tok, const std::map<std::stri
             bracket = true; // Skip: Seems to be valid pointer to array or function pointer
         } else if (singleNameCount >= 1 && Token::Match(tok2, "( * %name% [") && Token::Match(tok2->linkAt(3), "] ) [;,]")) {
             bracket = true;
+        } else if (singleNameCount >= 1 && tok2->previous() && tok2->previous()->isStandardType() && Token::Match(tok2, "( *|&| %name% ) ;")) {
+            bracket = true;
         } else if (tok2->str() == "::") {
             singleNameCount = 0;
         } else if (tok2->str() != "*" && tok2->str() != "::" && tok2->str() != "...") {
diff --git a/test/testincompletestatement.cpp b/test/testincompletestatement.cpp
index b4462b2b6..8ddd953ef 100644
--- a/test/testincompletestatement.cpp
+++ b/test/testincompletestatement.cpp
@@ -614,6 +614,12 @@ private:
               "    return [](int i) { return i > 0; }(s.i);\n"
               "}\n");
         ASSERT_EQUALS("", errout.str());
+
+        check("extern int (*p);\n" // #10936
+              "void f() {\n"
+              "    for (int i = 0; ;) {}\n"
+              "}\n");
+        ASSERT_EQUALS("", errout.str());
     }
 
     void vardecl() {
diff --git a/test/testvarid.cpp b/test/testvarid.cpp
index 5209a88f3..19557f7e8 100644
--- a/test/testvarid.cpp
+++ b/test/testvarid.cpp
@@ -96,6 +96,7 @@ private:
         TEST_CASE(varid62);
         TEST_CASE(varid63);
         TEST_CASE(varid64); // #9928 - extern const char (*x[256])
+        TEST_CASE(varid65); // #10936
         TEST_CASE(varid_for_1);
         TEST_CASE(varid_for_2);
         TEST_CASE(varid_cpp_keywords_in_c_code);
@@ -1174,6 +1175,29 @@ private:
         ASSERT_EQUALS(expected, tokenize(code));
     }
 
+    void varid65() { // #10936
+        {
+            const char code[] = "extern int (*p);";
+            const char expected[] = "1: extern int ( * p@1 ) ;\n";
+            ASSERT_EQUALS(expected, tokenize(code));
+        }
+        {
+            const char code[] = "extern int (i);";
+            const char expected[] = "1: extern int ( i@1 ) ;\n";
+            ASSERT_EQUALS(expected, tokenize(code));
+        }
+        {
+            const char code[] = "int (*p);";
+            const char expected[] = "1: int ( * p@1 ) ;\n";
+            ASSERT_EQUALS(expected, tokenize(code));
+        }
+        {
+            const char code[] = "int (i);";
+            const char expected[] = "1: int ( i@1 ) ;\n";
+            ASSERT_EQUALS(expected, tokenize(code));
+        }
+    }
+
     void varid_for_1() {
         const char code[] = "void foo(int a, int b) {\n"
                             "  for (int a=1,b=2;;) {}\n"