Career
He played two games in the National Hockey League, one each for the New York Rangers and Chicago Black Hawks. That October, Allum was signed by the New York Rangers, who assigned him to their local farm team, the EAHL New York Rovers. In his second season with the Rovers, Allum was named an First Team EAHL All-Star, and earned a call up to the Philadelphia Ramblers of the IAHL. In 1939-1940, the Rangers, who held his rights, loaned Allum to the Black Hawks, for whom he played one game without scoring before being returned to the Ramblers.
In 1940-1941, Allum played in one game for the Rangers, recording an assist against the Toronto Maple Leafs, but was returned to Philadelphia afterwards.
He never played in the National Hockey League again. In September 1941, his professional rights were sold to the Buffalo Bisons of the AHL. After the war, he returned to the Bisons, and went on to play for the Saint Louis Flyers, Cleveland Barons of the AHL and the Minneapolis Millers of the USHL. Lacrosse
Bill Allum also played lacrosse for the Owen Sound Crescents and Fergus Thistles of the Ontario Lacrosse Association.
The Braves team that year included future professionals Ted Green, Gary Bergman, and defeated future Hockey Hall of Fame member Scotty Bowman, who was coaching the Peterborough Petes. In the late-1960s, Allum went on to coach the Selkirk Steelers.
Bill Allum was inducted to the Manitoba Hockey Hall of Fame in the builder category in 1990.