Sii wad qodobkan - Xiddig caalami ah oo buuxda tan iyo 2010, Vargas wuxuu kasbaday 100 kulan oo Chile ah, isagoo dhaliyay 40 gool. Wuxuu ka mid ahaa kooxda Koobka Adduunka ee 2014 FIFA, Koobka FIFA Confederations Cup 2017, iyo Copa América 2015, 2016
, 2019 iyo 2021. Wuxuu ku dhameystay inuu yahay gool dhaliyaha ugu sareeya Chile ee ku guuleystay horyaalka 2015 iyo 2016 Copa América ololaha.