Named on the all-star team of the 1984 Frozen Four while he was wearing the colours of the Bowling Green State University, Galley was a late pick (5th round, 100th overall) by the Los Angeles Kings in the 1983 NHL Entry Draft. It however didn't prevent him from jumping straight to the NHL following his university days in 1984; the next season, he played 49 NHL games and four games with the New Haven Nighthawks of the American Hockey League; that was the only time in his career Galley played elsewhere than in the NHL.