 Kunyora kuenderera mberi kweiyi ndima - Mushure mekuva shasha yenyika muna 1998, Thuram aive chikamu chakakosha chekukunda kweFrance kuUEFA Euro 2000, izvo zvakaita kuti timu iite FIFA seye nhamba yekutanga kubva muna 20012002. Akatambawo mu2002 World Cup, 2006 World Cup, Euro 1996, Euro 2004 uye Euro 2008, kuwedzera kukunda 2003 FIFA Confederations Cup. Mukukunda kweFrance 21 muGroup pamusoro peEngland paEuro 2004, Thuram akazova wechitatu wechiFrench kuita makapu zana, mushure mevamwe vakwikwidzi ve1998 Didier Deschamps naMarcel Desailly. 