Nyorai kuenderera kweiyi ndima - Akatamba pasi rose nechikwata chevakuru cheSpain, icho chakahwina menduru yebronze paEuroBasket 2001 nemenduru mbiri dzesirivheri paEuroBasket 2003 na2007
. Munguva yaaive mutungamiri, kubudirira kwavo kukuru kwaive menduru yegoridhe paWorld Cup ya2006, uko kutamba kwake kwakanaka kwakamupa rukudzo rweAll-tournament. Muna 2006, Garbajosa akatumidzwa zita ra Mr Europa Player wegore nemagazini yeItaly yevhiki nevhiki "SuperBasket".