As a member of the Argentine senior men's national basketball team, Prigioni played at the 2006 FIBA World Championship. He won silver medals at the 2003 FIBA Americas Championship and 2007 FIBA Americas Championship.
Prigioni's experience as a key player for Argentina's senior men's national basketball team included participating in the 2006 FIBA World Championship. His notable achievements include securing silver medals at the 2003 and 2007 FIBA Americas Basketball Championships.