Chikwata chenyika yeMexico chakakwikwidza mumutambo uyu kubvira pakatanga mutambo weWorld Cup muna 1930, uye chakapinda kubvira ipapo, mumakwikwi gumi nematanhatu, kunyange hazvo chakatadza kupinda mumakwikwi ekupedzisira pazviitiko zvitatu: 1934
(Italy), 1974 (West Germany), uye 1982 (Spain). Mukuwedzera, yakabva mumakwikwi ekupedzisira muna 1938 (France), uye yakarambidzwa neFIFA kupinda mu1990 World Cup (Italy) mushure mekuisa vatambi vakwegura panguva ye1988 Olympic Games qualifiers, yaive mutambo wevechidiki.