diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index fe46003..7f042a1 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -6,6 +6,8 @@ Release History
 
 - Require ``event_hint`` when constructing ``RemoteProtocolError``.
   This is an API-breaking change.
+- Preserve the first accepted extension offer so later alternatives cannot
+  change compression settings after they have been negotiated.
 
 1.3.2 (2025-11-20)
 ------------------
diff --git a/src/wsproto/handshake.py b/src/wsproto/handshake.py
index ab390b8..7131545 100644
--- a/src/wsproto/handshake.py
+++ b/src/wsproto/handshake.py
@@ -469,6 +469,8 @@ def server_extensions_handshake(
     accepts: dict[str, bool | bytes] = {}
     for offer in requested:
         name = offer.split(";", 1)[0].strip()
+        if name in accepts:
+            continue
         for extension in supported:
             if extension.name == name:
                 accept = extension.accept(offer)
diff --git a/tests/test_extension_offer_selection.py b/tests/test_extension_offer_selection.py
new file mode 100644
index 0000000..2784bb5
--- /dev/null
+++ b/tests/test_extension_offer_selection.py
@@ -0,0 +1,88 @@
+"""Keep agreed compression settings stable across alternative offers."""
+
+from __future__ import annotations
+
+import pytest
+
+from wsproto import ConnectionType, WSConnection
+from wsproto.events import AcceptConnection, BytesMessage, CloseConnection, Request, TextMessage
+from wsproto.extensions import PerMessageDeflate
+from wsproto.handshake import server_extensions_handshake
+
+from .helpers import FakeExtension
+
+
+@pytest.mark.parametrize("accept_response", [True, "", "parameter=value"])
+def test_first_accepted_offer_is_preserved(accept_response: bool | str) -> None:
+    extension = FakeExtension(accept_response=accept_response)
+    assert (
+        server_extensions_handshake(
+            ["fake; preferred", "fake; fallback"],
+            [extension],
+        )
+        is not None
+    )
+    assert extension.offered == "fake; preferred"
+
+
+def test_declined_offer_does_not_prevent_fallback() -> None:
+    extension = PerMessageDeflate()
+    assert (
+        server_extensions_handshake(
+            ["permessage-deflate; server_max_window_bits=8", "permessage-deflate"],
+            [extension],
+        )
+        == b"permessage-deflate"
+    )
+    assert extension.enabled()
+
+
+@pytest.mark.parametrize("text", [False, True])
+@pytest.mark.parametrize("split_headers", [False, True])
+@pytest.mark.parametrize("chunk_size", [7, 65536])
+@pytest.mark.parametrize("extra_offer", [False, True])
+def test_rejected_alternative_does_not_reset_negotiated_context(
+    text: bool,
+    split_headers: bool,
+    chunk_size: int,
+    extra_offer: bool,
+) -> None:
+    client = WSConnection(ConnectionType.CLIENT)
+    server = WSConnection(ConnectionType.SERVER)
+    client_extension = PerMessageDeflate()
+    server_extension = PerMessageDeflate()
+    alternative = b"permessage-deflate; client_no_context_takeover; server_max_window_bits=8"
+    extra_headers = [(b"Sec-WebSocket-Extensions", alternative)] if extra_offer else []
+    request_event = Request(
+        host="localhost",
+        target="/",
+        extensions=[client_extension],
+        extra_headers=extra_headers,
+    )
+    request = client.send(request_event)
+    if not split_headers:
+        request = request.replace(b"\r\nSec-WebSocket-Extensions: " + alternative, b", " + alternative)
+    server.receive_data(request)
+    assert isinstance(next(server.events()), Request)
+    response = server.send(AcceptConnection(extensions=[server_extension]))
+    assert b"client_no_context_takeover" not in response
+    client.receive_data(response)
+    assert isinstance(next(client.events()), AcceptConnection)
+
+    # The second message reuses the first message's compression dictionary.
+    # A context reset that was not negotiated turns it into a protocol error.
+    payload = "실시간 음성 대화 " * 100 if text else bytes(range(256)) * 16
+    for _ in range(2):
+        wire = client.send(TextMessage(data=payload) if isinstance(payload, str) else BytesMessage(data=payload))
+        events = []
+        for offset in range(0, len(wire), chunk_size):
+            server.receive_data(wire[offset : offset + chunk_size])
+            events.extend(server.events())
+        assert not any(isinstance(event, CloseConnection) for event in events)
+        if isinstance(payload, str):
+            messages = [event for event in events if isinstance(event, TextMessage)]
+            assert "".join(event.data for event in messages) == payload
+        else:
+            messages = [event for event in events if isinstance(event, BytesMessage)]
+            assert b"".join(event.data for event in messages) == payload
+        assert messages[-1].message_finished