Edwin Viruet was one of four brothers who were boxers. He compiled an undefeated amateur boxing record of 18-0, which included winning two New York Golden Gloves Championships. Viruet won both the 1968 118lb Sub-Novice title and the 1969 126lb Open Title. Edwin and his brother Adolfo Viruet were declared co-champions in 1969.
Edwin's older brother, Jose, was a promising amateur boxer who died at age 21.