diff --git a/graphify/extractors/erlang.py b/graphify/extractors/erlang.py
index 4df8a686c..01067d055 100644
--- a/graphify/extractors/erlang.py
+++ b/graphify/extractors/erlang.py
@@ -323,6 +323,26 @@ def extract_erlang(path: Path) -> dict:
                                 "source_file": source_file,
                                 "source_location": f"L{node.start_point[0] + 1}",
                             })
+            elif node.type == "internal_fun":
+                # `fun helper/1` — a reference to a local function by name and
+                # arity, the idiomatic way to pass a callback to `lists:map`,
+                # `spawn`, etc. It names exactly one function, so resolve it the
+                # same way a direct call is, but as an `indirect_call`: the
+                # function is handed off to be invoked, not called on the spot
+                # (#3993). Remote references (`fun mod:f/2`, node type
+                # `external_fun`) are left unresolved — the module is named
+                # explicitly and belongs to the cross-file remote-call boundary.
+                name_node = node.child_by_field_name("fun")
+                arity_node = node.child_by_field_name("arity")
+                if name_node is not None and arity_node is not None:
+                    digits = "".join(
+                        ch for ch in _read_text(arity_node, source) if ch.isdigit()
+                    )
+                    if digits:
+                        name = _atom(_read_text(name_node, source))
+                        target = functions.get((name, int(digits)))
+                        if target is not None:
+                            add_edge(caller_id, target, "indirect_call", node)
             stack.extend(reversed(node.named_children))
 
     clean_edges = [
diff --git a/tests/test_erlang_extractor.py b/tests/test_erlang_extractor.py
index dbc0dd59d..b6d8b199a 100644
--- a/tests/test_erlang_extractor.py
+++ b/tests/test_erlang_extractor.py
@@ -102,6 +102,77 @@ def test_erlang_fixture_uses_normal_extract_path(tmp_path):
     assert ('run/0', 'helper/0') in _edge_labels(result, "calls")
 
 
+def test_erlang_local_fun_reference_links_to_the_function(tmp_path):
+    """`fun helper/1` is a reference to a local function — the idiomatic way to
+    pass a callback to `lists:map`, `spawn`, etc. It names exactly one function
+    (name + arity), so it must link the caller to it. Only direct calls were
+    walked before, so every `fun Name/Arity` reference was dropped from the call
+    graph (#3993)."""
+    source = tmp_path / "worker.erl"
+    source.write_text(
+        "-module(worker).\n"
+        "-export([run/0]).\n"
+        "run() -> lists:map(fun helper/1, [1, 2, 3]).\n"
+        "helper(X) -> X + 1.\n",
+        encoding="utf-8",
+    )
+
+    result = extract([source], cache_root=tmp_path)
+
+    assert ("run/0", "helper/1") in _edge_labels(result, "indirect_call")
+
+
+def test_erlang_local_fun_reference_respects_arity(tmp_path):
+    """Fail-closed: `fun helper/1` must bind only to the arity-1 clause, never to
+    a same-named function of a different arity (#3993)."""
+    source = tmp_path / "worker.erl"
+    source.write_text(
+        "-module(worker).\n"
+        "run() -> spawn(fun helper/0).\n"
+        "helper(X) -> X.\n",  # only helper/1 exists, not helper/0
+        encoding="utf-8",
+    )
+
+    result = extract([source], cache_root=tmp_path)
+
+    assert not any(
+        src == "run/0" for src, _tgt in _edge_labels(result, "indirect_call")
+    )
+
+
+def test_erlang_direct_call_stays_a_call_not_indirect(tmp_path):
+    """Positive control: a direct call keeps emitting a `calls` edge (not
+    `indirect_call`), unchanged by the fun-reference handling (#3993)."""
+    source = tmp_path / "worker.erl"
+    source.write_text(
+        "-module(worker).\n"
+        "run() -> helper(5).\n"
+        "helper(X) -> X.\n",
+        encoding="utf-8",
+    )
+
+    result = extract([source], cache_root=tmp_path)
+
+    assert ("run/0", "helper/1") in _edge_labels(result, "calls")
+    assert ("run/0", "helper/1") not in _edge_labels(result, "indirect_call")
+
+
+def test_erlang_call_inside_anonymous_fun_still_captured(tmp_path):
+    """Positive control: a direct call made inside an anonymous `fun ... end`
+    body must still be walked and resolved (#3993)."""
+    source = tmp_path / "worker.erl"
+    source.write_text(
+        "-module(worker).\n"
+        "run() -> lists:foreach(fun(X) -> helper(X) end, [1, 2, 3]).\n"
+        "helper(X) -> X.\n",
+        encoding="utf-8",
+    )
+
+    result = extract([source], cache_root=tmp_path)
+
+    assert ("run/0", "helper/1") in _edge_labels(result, "calls")
+
+
 def test_erlang_malformed_tail_comments_and_strings_do_not_create_phantoms(tmp_path):
     source = tmp_path / 'broken.erl'
     source.write_text('-module(broken).\nvalid() -> ok.\n% ghost() -> ok.\ninvalid(\n', encoding="utf-8")