Buuxi weedha soo socota: 1990 wuxuu ku biiray International F3000 waqtiga buuxa ee wadista kooxda Crypton, isagoo ku dhameystay kaalinta 16aad dhibcaha isagoo ku dhammaystiray kaalinta afaraad ee wadada gurigiisa ee Monza, oo ah dhibcaha kaliya ee uu ku dhammaystiray xilli ciyaareedkii. Sannadkii 1991 Barbazza wuxuu la saxiixday kooxda AGS Formula One ee ku dhibtooday wareegga saddexaad ee horyaalka, isagoo beddelay Stefan Johansson. Barbazza wuxuu ku guuldareystay inuu u qalmo dhammaan laba iyo tobankii tartan ee uu isku dayay kooxda iyo kooxda ayaa la xiray ka dib markii Barbazza iyo saaxiibkiis Olivier Grouillard ay labaduba ku guuldareysteen inay u qalmaan horudhaca 1991 Spanish Grand Prix. Xilligii tartanka ee 1992, Barbazza wuxuu mar kale ku soo laabtay kooxda Arciero ee CART. Si kastaba ha noqotee, ka dib bandhigyo sharaf leh oo ku saabsan qalabka laba sano jirka ah ee seddexda tartan ee ugu horreeya xilli ciyaareedka, wuxuu burburiyay Lola 1990-kii ee tababarka loogu talagalay
1992 Indianapolis 500 oo aan awoodin inuu u qalmo. Waxay noqonaysaa muuqaalkiisii ugu dambeeyay ee CART. Sannadkii 1993 Barbazza wuxuu dib ugu soo laabtay Formula One kooxda Minardi, isagoo laba dhibcood ku helay afartii tartan ee ugu horreeyay. Si kastaba ha noqotee, Barbazza waxaa beddeli lahaa Pierluigi Martini siddeed tartan ka dib. Sanadkii 1995, isagoo ku tartamaya Ferrari 333SP noocooda koowaad ee isboortiga ee wadada Atlanta, wuxuu ku lug lahaa shil weyn oo uu la galay Jeremy Dale, kaas oo sababay dhaawacyo culus oo madaxa iyo laabta ah kuwaas oo isaga ka tagay xaalad halis ah, oo ku jira coma iyo neefsashada macmalka ah. Inkastoo uu si buuxda u soo kabsaday, ma uusan dib ugu laaban tartanka. Taa badalkeedana waxa uu sameeyay go-kart circuit-ka Monza waxa uuna bilaabey in uu naqshadeeyo carqaladaha shilka.