 Baresi haana kubatanidzwa muchikwata cheItaly cheNdebe yeNyika ya1986 nemurairidzi Enzo Bearzot, uyo akamuona semunhu ari pakati kupfuura mudziviriri kunyangwe mukoma wake Giuseppe akasarudzwa semudziviriri weNdebe yeNyika, pamwe naRoberto Tricella. Akadzokera kuchikwata nokuda kwe 1988 European Championship, achitamba semutsvairi, uko Italy yakasvika kuma semi-fainari pasi paAzeglio Vicini, ichiva nhengo yechikwata chekutanga uye ichitamba mumutambo wese. Akaita chitarisiko chake chekutanga mumutambo wekupedzisira weWorld Cup mumakwikwi e1990, iyo yakaitirwa kumusha, uye akatamba mumutambo wese semumwe wevatambi vepakati, sezvo Italy yakapedza iri pachinzvimbo chechitatu, mushure mekubviswa nekudzivirira makwikwi eArgentina mu penalty shootout mu semi-fainari. Baresi akabatsira dziviriro yeItaly kuchengetedza machira mashanu akachena akateedzana, achingobvuma zvibodzwa zviviri, uye kuenda asina kurohwa kweWorld Cup rekodhi yemaminetsi mazana mashanu nemakumi masere nesere, kudzamara varohwa neArgentina yakaenzana muhafu yekupedzisira. Kuita kwake kwakamupa nzvimbo mu1990 World Cup Team yemutambo. 