Pedzisa mutsara unotevera: Mumakwikwi e2002 World Cup, Albania yakanyora 2<unk>0 kukunda Girisi iyo ndiyo chete timu yavakakunda mumakwikwi e2002. Albania yakakwanisa kuita chimwe chinhu mumakwikwi eUEFA Euro 2004 nekurova 3-1 Russia kuLoro Boriçi Stadium. Mutambo uyu waivewo wekutanga wemurairidzi wechiGerman Hans-Peter Briegel uyo akatungamira Albania kuti isakundwe mumitambo yekumba. Pasinei nemigumisiro yakanaka, Albania yakapedza boka racho iri panzvimbo yechipiri yokupedzisira ine mapoinzi masere chete. Mumakwikwi eWorld Cup 2006 Albania yakanyora zvimwe zviitiko zvekare. Mwedzi miviri pashure pokunge Girisi yarova Portugal kuti ikunde
Mumakwikwi eEuropean, Albania yakakunda Greece 2<unk>1.