diff --git a/CHANGELOG.md b/CHANGELOG.md
index c400db8e8..471941d40 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -53,6 +53,11 @@ All notable changes to this project are documented in this file. The format is b
   `account` or whose `azp` is another client (only `oidc` pins both).
 
 ### Fixed
+- **Behaviour change:** `LocaleMiddleware` never picks a language the browser
+  sends with `q=0` ("not acceptable"), including through a regional tag such
+  as `es-MX;q=0` and when `q` follows another parameter or is spelled `Q`;
+  `q=nan` and negative weights are ignored and weights above 1 count as 1
+  (#792).
 - **Behaviour change:** `RedactionFilter` on ordinary logging handlers masks
   secrets in tracebacks and stack information, including exception text not
   yet formatted when the filter runs (#789).
diff --git a/docs/framework-conventions.md b/docs/framework-conventions.md
index cddffebef..609b38dae 100644
--- a/docs/framework-conventions.md
+++ b/docs/framework-conventions.md
@@ -750,7 +750,7 @@ The default locale must be in the supported list (enforced by a pydantic validat
 Per request, `LocaleMiddleware` picks the active locale in this order:
 
 1. Cookie named by `SM_I18N_COOKIE_NAME` (default `locale`), validated against `SM_I18N_SUPPORTED_LOCALES`.
-2. `Accept-Language` header, with q-value parsing and longest-prefix match (`es-MX` → `es`).
+2. `Accept-Language` header, with q-value parsing and longest-prefix match (`es-MX` → `es`); a language sent with `q=0` is never chosen.
 3. `SM_I18N_DEFAULT_LOCALE`.
 
 The active locale lands on `request.state.locale`. The `<LocaleSwitcher />` component POSTs to `/i18n/set-locale`, which sets a 1-year cookie and redirects back.
diff --git a/docs/framework/i18n.md b/docs/framework/i18n.md
index 19ae33eb9..8edc6821c 100644
--- a/docs/framework/i18n.md
+++ b/docs/framework/i18n.md
@@ -134,7 +134,7 @@ Behavior matches across the stack: Babel's CLDR rules on the backend, `Intl.Plur
 `LocaleMiddleware` picks the active locale per request in this order:
 
 1. Cookie named by `SM_I18N_COOKIE_NAME` (default `locale`), validated against `SM_I18N_SUPPORTED_LOCALES`.
-2. `Accept-Language` header, with q-value parsing and longest-prefix match (`es-MX` → `es`).
+2. `Accept-Language` header, with q-value parsing and longest-prefix match (`es-MX` → `es`); a language sent with `q=0` is never chosen.
 3. `SM_I18N_DEFAULT_LOCALE`.
 
 Resolved locale lands on `request.state.locale`.
diff --git a/docs/framework/middleware.md b/docs/framework/middleware.md
index 0af80ca19..2f71dee62 100644
--- a/docs/framework/middleware.md
+++ b/docs/framework/middleware.md
@@ -187,7 +187,7 @@ Header lookup is **off unless you name a header**: `tenant_header` defaults to `
 
 Resolves the active locale in this order per request:
 1. Cookie named by `SM_I18N_COOKIE_NAME` (validated against supported locales).
-2. `Accept-Language` header with q-value parsing and longest-prefix match (`es-MX` → `es`).
+2. `Accept-Language` header with q-value parsing and longest-prefix match (`es-MX` → `es`); a language sent with `q=0` is never chosen.
 3. `SM_I18N_DEFAULT_LOCALE`.
 
 The resolved locale lands on `request.state.locale` and is used by `InertiaLayoutDataMiddleware` to pick the translation bundle for the shared props.
diff --git a/framework/hosting/simple_module_hosting/i18n_middleware.py b/framework/hosting/simple_module_hosting/i18n_middleware.py
index d2913893d..5ec4d5d9d 100644
--- a/framework/hosting/simple_module_hosting/i18n_middleware.py
+++ b/framework/hosting/simple_module_hosting/i18n_middleware.py
@@ -2,6 +2,8 @@
 
 from __future__ import annotations
 
+import math
+
 from starlette.datastructures import Headers
 from starlette.requests import Request
 from starlette.types import ASGIApp, Receive, Scope, Send
@@ -73,14 +75,24 @@ def _negotiate(self, accept_language: str) -> str | None:
             part = part.strip()
             if not part:
                 continue
-            tag, _, q_part = part.partition(";")
-            tag = tag.strip().lower()
-            q_part = q_part.strip().lower()
-            try:
-                q = float(q_part.split("=", 1)[1]) if q_part.startswith("q=") else 1.0
-            except ValueError:
-                q = 1.0
-            candidates.append((q, tag))
+            tag, *params = (piece.strip() for piece in part.split(";"))
+            tag = tag.lower()
+            q = 1.0
+            for param in params:
+                name, _, value = param.partition("=")
+                if name.strip().lower() != "q":
+                    continue
+                try:
+                    q = float(value.strip())
+                except ValueError:
+                    q = 1.0
+                break
+            # q=0 (or negative) means "not acceptable" (RFC 9110 §12.4.2); nan is
+            # no weight at all. Weights above 1 are out of range, so they count
+            # as 1 and cannot outrank an unweighted tag.
+            if math.isnan(q) or q <= 0:
+                continue
+            candidates.append((min(q, 1.0), tag))
 
         # Sort by q descending, stable.
         candidates.sort(key=lambda pair: -pair[0])
diff --git a/framework/hosting/tests/test_locale_middleware.py b/framework/hosting/tests/test_locale_middleware.py
index 034513810..b962e1820 100644
--- a/framework/hosting/tests/test_locale_middleware.py
+++ b/framework/hosting/tests/test_locale_middleware.py
@@ -97,3 +97,38 @@ def test_lower_q_supported_beats_higher_q_unsupported() -> None:
         headers={"Accept-Language": "de;q=1.0,es;q=0.1"},
     )
     assert resp.json() == {"locale": "es"}
+
+
+def test_q_zero_language_is_never_chosen() -> None:
+    """RFC 9110 §12.4.2: ``q=0`` means "not acceptable" (#792)."""
+    mw = LocaleMiddleware(lambda *a: None, supported_locales=["en", "es"], default_locale="en")
+    assert mw._negotiate("es;q=0") is None
+    assert mw._negotiate("es;q=0.000, en;q=0.1") == "en"
+    # A refused regional tag does not fall back to its primary language either.
+    assert mw._negotiate("es-MX;q=0") is None
+
+
+def test_q_zero_header_resolves_to_default() -> None:
+    client = TestClient(_build_app(["en", "es"], "en"))
+    assert client.get("/", headers={"accept-language": "es;q=0"}).json() == {"locale": "en"}
+
+
+def test_non_finite_and_out_of_range_q_values() -> None:
+    mw = LocaleMiddleware(lambda *a: None, supported_locales=["en", "es"], default_locale="en")
+    # nan is not a weight: the candidate is ignored.
+    assert mw._negotiate("es;q=nan") is None
+    assert mw._negotiate("es;q=nan, en;q=0.5") == "en"
+    # Weights above 1 (inf included) count as 1, so header order breaks the tie.
+    assert mw._negotiate("es;q=inf, en") == "es"
+    assert mw._negotiate("en, es;q=inf") == "en"
+    assert mw._negotiate("en, es;q=5") == "en"
+    # A negative weight is below 0 and therefore not acceptable.
+    assert mw._negotiate("es;q=-1") is None
+
+
+def test_q_zero_is_found_among_other_parameters_and_spacing() -> None:
+    mw = LocaleMiddleware(lambda *a: None, supported_locales=["en", "es"], default_locale="en")
+    assert mw._negotiate("es;charset=utf-8;q=0") is None
+    assert mw._negotiate("es; q = 0, en;q=0.1") == "en"
+    assert mw._negotiate("es;q=0;") is None
+    assert mw._negotiate("es;Q=0") is None