 Garri was the youngest member - at 22 - of the Italian squad that won a silver medal at the 2004 Summer Olympics, contributing 4.5 points and 2.4 rebounds in more than 12 minutes per game, including 2 points (on 1-for-5 shooting), 6 rebounds and 2 blocks over 17 minutes during the final against Argentina.The following year, he was in the Italy experimental squad that won the 2005 Mediterranean Games in Almeria, but was not included in the Italy squad for EuroBasket 2005.Garri was recalled for the 2006 FIBA World Championship, averaging 4.3 points and 2.3 rebounds in around 12 minutes per game over the tournament.