Kammala jumla mai zuwa: A wasannin neman shiga gasar cin kofin duniya ta 2002, Albania ta yi nasarar cin nasara 2-0 a kan Girka wanda ita ce kawai kungiyar da suka doke a lokacin wasannin neman shiga gasar. Albania ta sami damar yin tasiri a cikin cancantar UEFA Euro 2004 ta hanyar doke Rasha 3-1 a filin wasa na Loro Boriçi. Wannan wasan kuma shine farkon kocin Jamus Hans-Peter Briegel wanda ya jagoranci Albania zuwa rashin nasara a wasannin gida. Duk da kyakkyawan sakamako, Albania ta gama rukunin a wuri na biyu tare da maki takwas kawai. A cikin cancantar gasar cin kofin duniya ta 2006 Albania ta yi rikodin wasu sakamako na tarihi. Watanni biyu bayan Girka ta doke Portugal ta lashe gasar
Gasar Zakarun Turai, Albania ta doke Girka 2 zuwa 1.