 Nyora kupfuurira kweiyi ndima - kutanga kweArgentina muDavis Cup muna 1921rakatanga netsoka isiri iyo nokurasikirwa nokufamba kuenda kuDenmark mumutambo wokutanga. Vakatamba mitambo yavo yekutanga yeDavis Cup muna 1923, vachirasikirwa 14 mumutambo wokutanga neSwitzerland. Pashure pemakore anoverengeka okushanda zvakaoma mumatunhu enharaunda uye okutanga, akatungamirirwa naGuillermo Vilas naJosé Luis Clerc, Argentina yakasvika kumagumo avo okutanga muna 1981, ichikundwa neUnited States. Pashure pokudzivisa kubviswa muBoka reNyika gore rakatevera racho, Argentina yakasvika kumasemifinal muna 1983, ichikundwa muStockholm nechikwata cheSweden. Mumakore akatevera, Argentina haina kukwanisa kudzokorora kuita uku uye yakadzoserwa kuAmerica I Boka muna 1987. Vakadzokera mu1990-92 World Group, gore iroro rakadzoserwa kuAmerica Zone zvakare uye havana kuzodzokera kumakwikwi makuru kusvika 2002 Davis Cup, kusvika kuma semifainari zvakare mukurasikirwa neRussia iyo yaisanganisira nhoroondo yemakwikwi evanhu vaviri pakati paYevgeny Kafelnikov naMarat Safin vachipesana naDavid Nalbandian naLucas Arnold Ker iyo maawa 6 nemaminitsi makumi maviri ndiyo yakarebesa makwikwi evanhu vaviri munhoroondo yakanyorwa. Kubva 2002, Argentina yasvika kumagumo pazviitiko zvina muna 2006, 2008, 2011 na2016. Vakapiwa korona semakwikwi kekutanga mushure mekukunda Croatia mufainari muna 2016. Zvisinei, gore rakatevera racho vakadzikiswa muboka rokutanga reAmerica Zone. 