 Nyora kupfuurira kweiyi ndima - Muma1960, Atlético yakahwina Campeonato Mineiro kaviri, muna 1962 na1963, asi yakatadza kufambira mberi kusvika kumatanho ekupedzisira eTça Brasil. Mineirão, nhandare itsva yeBelo Horizonte, yakavhurwa muna 1965 uye pakarepo yakava imba yekirabhu. Yakanga iri pakati pemakore ekuma1960 kuti kukwikwidzana neCruzeiro kwakava kukuru kwazvo mudunhu, mushure mekunge kirabhu iyi yakahwina makwikwi mashanu ekutanga ehurumende munguva yeMineirão. Muna 1967, mumwe makwikwi emunyika akagadzirwa neCBD, iyo Torneio Roberto Gomes Pedrosa. Yakanga iine makirabhu akawanda kupfuura Taça Brasil, asi Atlético haina kupedzisa pakati pevakuru vana mune chero chinyorwa chayo mumakore gumi. Muhafu yechipiri ye1960s, zviitiko zvakakosha zvakauya muchimiro chehukama hwekurwisana nemativi emarudzi. Muna 1968, Atlético, ichimiririra chikwata chenyika yeBrazil, yakakunda European Championship runners-upYugoslavia 32 paMineirão; gore rakatevera racho, Seleção pachayo, iyo yaizova shasha yeFIFA World Cup ya1970, yakakundwa 21. 