 Nyora kupfuurira kweiyi ndima - Muna Chikunguru 1996, Thuram akaita chinzvimbo chepamusoro kuItari kujoina Serie A kirabhu Parma. Mumwaka wake wekutanga, akaita zvinopfuura makumi mana zvekuratidzira kukirabhu mumakwikwi ese, achihwina chibodzwa chimwe, sezvo Parma yakapedza yechipiri mu1996-97 Serie A.KuJuventus Akachengetedza chinzvimbo chekutanga mukudzivirira munguva yake yese neParma, achiita 163 Serie A kuoneka uye akarova chinangwa chimwe cheligi. Pamwe chete, akaita zvinopfuura kuoneka mazana maviri kwekirabhu, achinyatsozviitira zita, achiwanawo makapu eFrance. Kutevera imwe mwaka unoshamisa kwazvo muna 2000-01, apo Parma yakasvika muCoppa Italia yekupedzisira, uye ichipedza mwaka weSerie A pachinzvimbo chechina, Thuram, pamwe newaaitamba naye Gianluigi Buffon, vakatamira kuJuventus. Kutamisirwa kwake kwakadhura kirabhu mabhiriyoni makumi masere emari yeItaly 41,316,552 euros. Paaiva kuParma, pamwe chete nevadzidzi vake veJuventus Buffon naFabio Cannavaro, Thuram akakunda zvose UEFA Cup uye Coppa Italia munguva ye 1998-1999, yakateverwa ne1999 Supercoppa Italiana. 