diff --git a/Cython/Compiler/FlowControl.py b/Cython/Compiler/FlowControl.py
index ece07b0818941a7472a06c7889c4b91cae53fb36_Q3l0aG9uL0NvbXBpbGVyL0Zsb3dDb250cm9sLnB5..b1c559a8ff8e55e5fa94a7c45d8860d876572bb7_Q3l0aG9uL0NvbXBpbGVyL0Zsb3dDb250cm9sLnB5 100644
--- a/Cython/Compiler/FlowControl.py
+++ b/Cython/Compiler/FlowControl.py
@@ -1198,6 +1198,7 @@
         if self.flow.loops:
             self.flow.loops[-1].exceptions.append(descr)
         self.flow.block = body_block
+        body_block.add_child(entry_point)
         self.flow.nextblock()
         self._visit(node.body)
         self.flow.exceptions.pop()
diff --git a/tests/compile/tryfinally.pyx b/tests/compile/tryfinally.pyx
index ece07b0818941a7472a06c7889c4b91cae53fb36_dGVzdHMvY29tcGlsZS90cnlmaW5hbGx5LnB5eA==..b1c559a8ff8e55e5fa94a7c45d8860d876572bb7_dGVzdHMvY29tcGlsZS90cnlmaW5hbGx5LnB5eA== 100644
--- a/tests/compile/tryfinally.pyx
+++ b/tests/compile/tryfinally.pyx
@@ -18,4 +18,10 @@
         finally:
             i = 42
 
+def use_name_in_finally(name):
+    # GH3712
+    try:
+        []
+    finally:
+        name()
 
@@ -21,1 +27,2 @@
 
+