Muller was recruited locally, from North Geelong, and made his league debut in 1933.
The following season he had his best year, claiming nine Brownlow Medal votes to finish as the top placed Geelong player.
In the 1937 VFL season, Muller appeared in 13 successive wins, the last of which came in the Grand Final where he managed 28 effective disposals and claimed six marks.
A left footer, he was used mainly on the wing but could also play as a centreman, rover and half forward flanker.
[2] He is credited as the 4000th player to appear in the VFL and represented the league at interstate football on four occasions.