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. Twice the young inside forward spotted the ball and twice the swirling wind blew it from the penalty spot. On each occasion, Walker calmly returned the ball and, displaying nerves of steel, converted the penalty at the third attempt. He later recalled ""I cannot even remember at what end of the ground the penalty-kick was given but I vaguely do remember the ball rolling off the spot. I just replaced it and hit it"" . Two years later on 9 April 1938, Walker's 5th minute shot from just inside the penalty box was the only goal of the game against England, which also gave Walker the honour of being the first player to score a goal live on television.