Pedzisa mutsara unotevera: Akatamba neArgentina pa2006 FIBA World Championship, uko timu yake yakapedza iri panzvimbo yechina. Ginóbili akanga ari mutakuri wemureza weArgentina pamhemberero yokuzarura Mitambo yeOlympic yeZhizha ya2008, iyo yakaitirwa muBeijing, China. Pa
2008 Beijing Summer Olympics basketball tournament, Ginóbili's Argentina yakakunda Lithuania kuhwina mutambo wemenduru yebronze, kunyangwe muchengeti wekupfura asina kutamba mumutambo iwoyo, mushure mekukuvara mukutamba kwemasemifainari. Muna Kubvumbi 2010, Ginóbili akazivisa kuti aisazotora chikamu mu2010 FIBA World Championship, nekuda kwezvikonzero zvemhuri. Zvisinei akakwikwidza kuchikwata pa2012 London Summer Olimpiki, uko Argentina yakarasikirwa nekukunda menduru yebronze, mumutambo wemenduru yebronze uchipesana neRussia. Akatamba mitambo yake yekupedzisira yepasi rose mu2016 Rio Summer Olympics, uko Argentina yakapedza iri munzvimbo yechisere.