Born in Verona, Remondini was a defensive midfielder, who capable of covering any midfield role for his teams and who could also play as a full-back. After playing two seasons in Serie B with Verona, he debuted in Serie A at 20 years of age with Milan, in the same year that Italy won the 1938 World Cup. During the war period, he went from Modena to Casale, and back to Modena, before heading for the capital. With Lazio he played his best football, scoring 19 goals in 95 games and earning a spot on the Italian team for the 1950 World Cup. After the World Cup he went to Napoli, and then ended his Serie A career with Lucchese.