At the FIL European Luge Championships, Müller won eight medals. This included five golds (Men's singles: 1996, 2000; Mixed team: 1990, 1996, 1998), two silvers (Men's singles: 1986; Mixed team: 1988), and one bronze (Men's singles: 1990). In Luge World Cup, Müller's best overall finish in men's singles was second three times (1988-9, 1996-7, 1999-2000).