Career
Babiloni started his career at Guingamp and on 3 May 2012, he signed a one-year professional contract. He made his professional debut on 7 August 2012 in a 1–0 defeat over Air Corps Arles-Avignon in the Coupe de la Ligue, substituting Thierry Argelier. Three days later, he made his league debut starting the game at Angers.