Torrence competed in the 1962 Military Olympics in Germany. In 1963, he was the captain of the Armed Forces team that won the United States trials for the Pan American Games. It was the first time that the military services won the trials. Torrence was one of five Armed Forces members, all from the Army, who were selected for the 12-man US national team at the 1963 PanAm Games in Brazil. The US won the gold medal, but Torrence played in just three games after returning home due to the death of his father. He was also a member of the US squad which finished fourth at the 1963 World Championship.