His most important performances for Scotland, and those which endeared him most to the Tartan Army, were against England at Wembley. In 1936, when trailing 1–0, Scotland were awarded a late penalty, which Walker volunteered to take.
Walker's crucial performances for Scotland, especially during matches with England at Wembley, were particularly memorable. In 1936, after Scotland had fallen behind 1–0, they were given a late penalty opportunity, and Walker volunteered to convert it.