Nyorai mberi kwechikamu chino - Venezuela yakatanga kutora chikamu muCopa América muna 1967, uye yakapedza yechishanu mushure mekukunda Bolivia 3<unk>0 nechikwata chaiva naMendoza naSantana. Mutambo wa1975 wakaona Venezuela ichidhirowa muboka neBrazil neArgentina, uye yakapedza pasi nekukundwa neArgentina 11-0. Mugwaro ra1979, iro raizova rwiyo rwenyenganyenga rwenyika yose rweMendoza naSantana, vakadhirowa 0<unk>0 neColombia uye 1<unk>1 neChile. Chinhu chinokosha mumutambo wa1989 chaiva zvibodzwa zvina zvaCarlos Maldonado. Mugore ra1993
muzvikwata, Venezuela yakadhirowa neUruguay neUnited States.