Rubuta ci gaba don wannan sakin layi - A 1990 ya shiga International F3000 cikakken lokaci tuki ga Crypton tawagar, gama 16th a maki tare da mafi kyau gama na hudu a gida hanya a Monza, da kawai aya-scoring gama kakar. Don 1991 Barbazza ya sanya hannu tare da ƙungiyar AGS Formula One mai gwagwarmaya don zagaye na uku na gasar zakarun Turai, wanda ya maye gurbin Stefan Johansson. Barbazza ya kasa cancanta ga dukkan tsere goma sha biyu da ya yi ƙoƙari tare da ƙungiyar kuma an rufe ƙungiyar bayan duka Barbazza da abokin aikinsa Olivier Grouillard duk sun kasa samun cancantar shiga gasar Grand Prix ta Spain ta 1991. Don lokacin tseren 1992, Barbazza ya sake komawa ƙungiyar Arciero a cikin CART. Duk da haka, bayan da ya yi aiki mai kyau a cikin kayan aiki na shekaru biyu don tseren farko na kakar wasa, ya rushe Lola na 1990 a cikin horo don 1992 Indianapolis 500
kuma bai sami damar cancanta ba. Zai zama bayyanarsa ta ƙarshe a CART. A cikin 1993 Barbazza ya koma Formula One tare da ƙungiyar Minardi, inda ya ci maki sau biyu a cikin tsere huɗu na farko. Koyaya, Pierluigi Martini zai maye gurbin Barbazza bayan tsere takwas. A cikin 1995, yayin tseren samfurin Ferrari 333SP na wasanni a hanyar Atlanta, ya shiga cikin babbar haɗari tare da Jeremy Dale, wanda ya haifar da mummunan rauni a kai da kirji wanda ya bar shi cikin mawuyacin hali, cikin coma da kuma numfashi na wucin gadi. Ko da yake ya warke, bai sake yin tsere ba. Maimakon haka ya fara zagaye na go-kart a Monza kuma ya fara tsara shingen haɗari.