Ka kammala wannan jumla: Bayan haka, wannan aukuwar ta shiga wani lokaci na babban rudani. Ba a buga gasar ba a kai a kai kuma za a yi la'akari da yawancin bugu ba bisa ka'ida ba, kawai don a yi la'akari da inganci daga baya ta CONMEBOL. Misali, Argentina za ta kasance ta farko (kuma har yanzu kawai) ƙungiyar da za ta ci nasara sau uku a jere ta hanyar lashe gasar zakarun Turai ta 1945,
1946 da kuma 1947. Bayan waɗancan gasa uku na shekara-shekara, gasar ta koma ana yin ta kowace shekara biyu, sannan sau uku kuma daga baya sau huɗu. Akwai ma wasanni biyu da aka gudanar a 1959, daya a Argentina kuma na biyu a Ecuador. A wannan lokacin, wasu daga cikin kungiyoyin kasa ba su damu da gasar ba. Wasu ba sa shiga kowace shekara, wasu kuma sun aika da ƙananan ƙungiyoyi; a cikin bugun 1959 da aka gudanar a Ecuador, Brazil ta shiga ƙungiyar daga jihar Pernambuco. Bolivia ta lashe gasar a karon farko lokacin da ta karbi bakuncin gasar a shekarar 1963, amma Venezuela ta doke ta a wasan farko na gasar ta 1967. Kafa Copa Libertadores a 1959 ya kuma shafi yadda mahalarta suka kalli gasar.