Fisnik Asllani opened the scoring for the visitors in the sixth minute when he latched on to a throughball from Mergim Vojvoda and fired past Slovenian keeper Jan Oblak.
Kosovo secures World Cup play-off spot
Kosovo kept its dreams of a FIFA World Cup debut alive with a 2-0 win over Slovenia that guaranteed it at least a play-off spot to qualify for next year's tournament in Mexico, Canada and the United States.
Kosovo doubled its lead in the 64th minute when Slovenia's Zan Karnicnik turned a cross past his own keeper.
Slovenia's job was made tougher when second-half substitute Petar Stojanovic was sent off for picking up two yellow cards within 10 minutes of the restart.
Kosovo stands second in Group B on 10 points, three behind Switzerland, which crushed Sweden 4-1.
The Balkan nation hosts the group leader on Wednesday (AEDT) but lags far behind on goal difference.
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