Kammala jumla mai zuwa: Bayan wasan kwaikwayonsa mai ban sha'awa ga Argentinos Juniors a 1985 Copa Libertadores, kocin Argentina Carlos Bilardo ya kira Batista don wasan sada zumunta da Mexico a ranar 14 ga Nuwamba 1985 a wasan da ya ƙare a 1 × 1 Draw. Tare da gasar cin kofin duniya ta FIFA ta 1986 da ke gabatowa, Batista da sauri ya ci gaba da kafa kansa a matsayin dan wasa na farko a cikin kungiyar kwallon kafa ta Argentina. Duk da karancin kwarewarsa na kasa da kasa, ya buga kowane wasa na gasar, Argentina ta ci nasara. An kafa shi a cikin tawagar, Batista ya taka leda a cikin
1987 Copa América, 1989 Copa América da 1990 FIFA World Cup, wanda Argentina ta zama ta biyu.