Quaglia played for the France men's national ice hockey team at the 1920 Summer Olympics in Antwerp, the 1924 Winter Olympics in Chamonix, and the 1928 Winter Olympics in St. Moritz. He won a silver medal at the 1923 European Championship and was also the tournament's top scorer, finishing with 10 goals. At the 1924 European Championship, he won a gold medal with France and scored the game-winning goal against Sweden in the final.