 Nyorai mberi kweiyi ndima - Tunisia yakawana rusununguko kubva kuFrance musi wa 20 Kurume 1956. The Tunisian Football Federation yakavambwa musi wa 29 Kurume 1957 uye yakabatana neFIFA neConfederation of African Football muna 1960. Tunisia yakazvimiririra yakatamba mutambo wayo wekutanga neAlgeria musi wa1 Chikumi 1957, pakati peHondo yeAlgeria; Tunisia yakarasikirwa 21. Vakatamba mutambo wavo wokutanga pamitambo yePan Arab Games ya1957uko vakakunda Libya 43 mushure mekurova chinangwa chekutanga cheTunisia mumakwikwi epamutemo na. Vakakwanisawo kupfuura neIraq neRebhanoni vasati varasikirwa neSyria 31. Muna 1960, Yugoslavian Milan Kristić kuti ave mutorwa wokutanga kudzidzisa chikwata yenyika saka Tunisia akakodzera 1960 Summer yeOlympic yakanga yavo yokutanga dzakawanda chiitiko pashure pokurova Malta, Morocco uye Sudan; musi wa24 July 1960, chikwata chakaona kurohwa kwayo zvikuru-kare, kurasikirwa 101 pamusoro Hungary. Zvisinei, isingasviki mwedzi gare gare, musi wa18 August 1960, Tunisia yakanyora kukunda kwayo kukuru: 81 ichirova Taiwan. NezveMitambo yeOlympic, mhedzisiro yaive yakashata kwazvo mumutambo wekutanga uye kunyangwe kuvhurwa kwenhamba nemaminetsi matatu, asi timu yePoland yakadzoka mumutambo uye yakahwina 61. Vakarasikirwawo neArgentina 21 vasati vakundwa zvakare, panguva ino vachipesana neDenmark 31. 