Galley played two and a half seasons (84–85 to 86–87) with the Los Angeles Kings before being traded to the Washington Capitals in February 1987. He played the rest of the 1986–87 season and competed in the 87–88 season with the Capitals. In July 1988, he signed as a free agent with the Boston Bruins, where he played from 1988–89 to 1991–92. In Game Two of the 1990 playoff series against Montreal, Galley scored the game-winner in overtime. The goal, at the time, was compared to Bobby Orr's famous Cup-clinching goal in 1970. Galley played in the 1991 All-Star Game.