He won a bronze medal with the Swiss relay team at the 1985 World Orienteering Championships.

Müller competed at the 1978 World Championships in Kongsberg, where he placed 16th in the individual course and fourth in the relay with the Swiss team.

[3] At the 1983 World Championships in Zalaegerszeg he placed tenth in the individual contest, and fourth in the relay.

[4] At the 1985 World Championships in Bendigo, he participated on the Swiss team, which won the bronze medal.

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