Born in Verona, Remondini was the oldest player selected to the Italian national team for the 1950 World Cup. A defensive midfielder and on occasion a fullback, he knew very well how to cover all the midfield roles of the teams he played for. After playing two seasons in Serie B with Verona, he debuted in Serie A at 20 years of age for Milan in the same year Italy won the 1938 World Cup. In the war period he went from Modena to Casale and back to Modena before heading for the capital. With Lazio he played his best soccer scoring 19 goals in 95 games and earning a spot on the 1950 World Cup team. His one cap for the 'Azzurri' was in the 2-0 win against Paraguay. After the World Cup he went to Napoli and then closed his Serie A career with Lucchese.