From 1980 to 1991 Rempe took part in professional snooker events, with his first event being a team event, the 1980 World Challenge Cup, where his team failed to move beyond the group stages. In 1985 Rempe turned professional, achieving his best result in 1987, when he reached the round of 64 during the 1987 World Snooker Championship.
Rempe competed in snooker events from 1980 to 1991, starting with a team competition, the 1980 World Challenge Cup, where his team was eliminated in the group stages. In 1985 Rempe turned pro and reached his highest ranking in 1987, when he made it to the round of 64 at the 1987 World Snooker Championship.