diff --git a/scripts/refresh_nightly_stacks.py b/scripts/refresh_nightly_stacks.py
index 35d8cae..0b49962 100644
--- a/scripts/refresh_nightly_stacks.py
+++ b/scripts/refresh_nightly_stacks.py
@@ -35,6 +35,7 @@
     r"^(?P<name>[A-Za-z0-9_]+)-(?P<version>[A-Za-z0-9.!+]+)"
     r"-(?P<pytag>[a-z0-9]+)-(?P<abitag>[a-z0-9]+)-(?P<plattag>[a-z0-9_.]+)\.whl$"
 )
+ANY_ABI = "any"
 DEV_DATE_RE = re.compile(r"\.dev(\d{8})\+")
 ANCHOR_TEXT_RE = re.compile(r">([^<>]+\.whl)</a>")
 
@@ -64,12 +65,22 @@ def abi_for_wheel(pytag, abitag):
     """`major.minor` for a standard CPython wheel; None for anything else
     (freethreaded cp31Xt, abi3, pypy) - the desktop app's venvs are
     standard CPython."""
+    if pytag == "py3" and abitag == "none":
+        return ANY_ABI
     m = re.fullmatch(r"cp3(\d+)", pytag)
     if not m or abitag != pytag:
         return None
     return f"3.{m.group(1)}"
 
 
+def shared_abis(abi_sets):
+    """ABIs common to every set; a set holding ANY_ABI fits all of them."""
+    concrete = [s for s in abi_sets if ANY_ABI not in s]
+    if not concrete:
+        return set()
+    return set.intersection(*concrete)
+
+
 def fetch_index(tag, package):
     """(version, platform, abi) triples for one package's dated nightly
     wheels on desktop-relevant platforms."""
@@ -142,7 +153,7 @@ def resolve_tag(tag, today):
         for p in ("win32", "linux"):
             if not all(p in s["plat_abis"] for s in slots.values()):
                 continue
-            shared = set.intersection(*(s["plat_abis"][p] for s in slots.values()))
+            shared = shared_abis([s["plat_abis"][p] for s in slots.values()])
             if shared:
                 abis_by_platform[p] = shared
         if not abis_by_platform:
diff --git a/scripts/test_torch_index_scripts.py b/scripts/test_torch_index_scripts.py
index 03509fc..ad25db4 100644
--- a/scripts/test_torch_index_scripts.py
+++ b/scripts/test_torch_index_scripts.py
@@ -317,6 +317,23 @@ def test_parse_index_filters_wheels(self):
             ],
         )
 
+    def test_parse_index_accepts_py3_none_wheels(self):
+        html = index_html(
+            [
+                "torchvision-0.30.0.dev20261008%2Bcu132-py3-none-win_amd64.whl",
+                "torchvision-0.30.0.dev20261008%2Bcu132-py3-none-manylinux_2_28_x86_64.whl",
+                "torchvision-0.30.0.dev20261008%2Bcu132-py3-none-manylinux_2_28_aarch64.whl",
+            ]
+        )
+        wheels = refresher.parse_index("torchvision", "cu132", html)
+        self.assertEqual(
+            sorted(wheels),
+            [
+                ("0.30.0.dev20261008+cu132", "linux", "any"),
+                ("0.30.0.dev20261008+cu132", "win32", "any"),
+            ],
+        )
+
 
 def fake_indexes(data):
     """fetch_index replacement: data[package] = list of wheel triples."""
@@ -359,6 +376,33 @@ def test_full_coverage_keeps_both_platforms(self):
         self.assertEqual(entry["pythonAbis"], ["3.12", "3.13"])
         self.assertEqual(entry["packages"]["torch"], f"2.14.0.dev{day}+cu132")
 
+    def test_py3_none_companions_take_torch_abis(self):
+        today = utc_today()
+        day = (today - timedelta(days=1)).strftime("%Y%m%d")
+        both = {"win32": ["3.12", "3.13"], "linux": ["3.12"]}
+        universal = {"win32": ["any"], "linux": ["any"]}
+        data = {
+            "torch": triples("2.16.0", day, both),
+            "torchvision": triples("0.30.0", day, universal),
+            "torchaudio": triples("2.11.0", day, universal),
+        }
+        entry, err, _ = self.resolve(data)
+        self.assertIsNone(err)
+        self.assertEqual(sorted(entry["platforms"]), ["linux", "win32"])
+        self.assertEqual(entry["pythonAbis"], ["3.12"])
+
+    def test_all_py3_none_has_no_abi_to_advertise(self):
+        today = utc_today()
+        day = (today - timedelta(days=1)).strftime("%Y%m%d")
+        universal = {"win32": ["any"]}
+        data = {
+            pkg: triples(ver, day, universal)
+            for pkg, ver in (("torch", "2.16.0"), ("torchvision", "0.30.0"), ("torchaudio", "2.11.0"))
+        }
+        entry, err, _ = self.resolve(data)
+        self.assertIsNone(entry)
+        self.assertIsNotNone(err)
+
     def test_one_platform_abi_gap_shrinks_global_abis(self):
         # torchaudio missing linux 3.12: 3.12 must NOT be advertised
         # globally, but both platforms stay listed via the shared 3.13.