Moser began his career in the early sixties, racing Alfa Romeos and moved to single seaters in 1964, with a good deal of success both in European Formula three and the Temporada Series.
Moser comezou a súa carreira a principios dos anos sesenta, competindo con Alfa Romeo e trasladouse aos monoprazas en 1964, con moito éxito tanto na Fórmula 3 europea como nas Temporada Series.