diff --git a/cpp/ql/src/semmle/code/cpp/rangeanalysis/SimpleRangeAnalysis.qll b/cpp/ql/src/semmle/code/cpp/rangeanalysis/SimpleRangeAnalysis.qll
index 4a8f39d79f2..fe89d8ebbe5 100644
--- a/cpp/ql/src/semmle/code/cpp/rangeanalysis/SimpleRangeAnalysis.qll
+++ b/cpp/ql/src/semmle/code/cpp/rangeanalysis/SimpleRangeAnalysis.qll
@@ -91,13 +91,30 @@ private float wideningUpperBounds(ArithmeticType t) {
   result = 1.0 / 0.0 // +Inf
 }
 
+/**
+ * Gets the value of the expression `e`, if it is a constant.
+ * This predicate also handles the case of constant variables initialized in compilation units,
+ * which doesn't necessarily have a getValue() result from the extractor.
+ */
+private string getValue(Expr e) {
+  if exists(e.getValue())
+  then result = e.getValue()
+  else
+    exists(VariableAccess access, Variable v |
+      e = access and
+      v = access.getTarget() and
+      v.getUnderlyingType().isConst() and
+      result = getValue(v.getAnAssignedValue())
+    )
+}
+
 /** Set of expressions which we know how to analyze. */
 private predicate analyzableExpr(Expr e) {
   // The type of the expression must be arithmetic. We reuse the logic in
   // `exprMinVal` to check this.
   exists(exprMinVal(e)) and
   (
-    exists(e.getValue().toFloat()) or
+    exists(getValue(e).toFloat()) or
     e instanceof UnaryPlusExpr or
     e instanceof UnaryMinusExpr or
     e instanceof MinExpr or
@@ -365,8 +382,8 @@ private float getTruncatedLowerBounds(Expr expr) {
   then
     // If the expression evaluates to a constant, then there is no
     // need to call getLowerBoundsImpl.
-    if exists(expr.getValue().toFloat())
-    then result = expr.getValue().toFloat()
+    if exists(getValue(expr).toFloat())
+    then result = getValue(expr).toFloat()
     else (
       // Some of the bounds computed by getLowerBoundsImpl might
       // overflow, so we replace invalid bounds with exprMinVal.
@@ -418,8 +435,8 @@ private float getTruncatedUpperBounds(Expr expr) {
   then
     // If the expression evaluates to a constant, then there is no
     // need to call getUpperBoundsImpl.
-    if exists(expr.getValue().toFloat())
-    then result = expr.getValue().toFloat()
+    if exists(getValue(expr).toFloat())
+    then result = getValue(expr).toFloat()
     else (
       // Some of the bounds computed by `getUpperBoundsImpl`
       // might overflow, so we replace invalid bounds with
diff --git a/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test.c b/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test.c
index 88fe22c3b31..5802ca3eb4f 100644
--- a/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test.c
+++ b/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test.c
@@ -69,3 +69,10 @@ void test10(int x) {
 		} while (0);
 	}
 }
+
+extern const int const256;
+
+void test11() {
+	short s;
+	for(s = 0; s < const256; ++s) {}
+}
\ No newline at end of file
diff --git a/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test2.c b/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test2.c
new file mode 100644
index 00000000000..7a9609c9a3b
--- /dev/null
+++ b/cpp/ql/test/query-tests/Security/CWE/CWE-190/semmle/wider_type/test2.c
@@ -0,0 +1 @@
+const int const256 = 256;
\ No newline at end of file