 Nyorai kuenderera mberi kweiyi ndima - Muna Chivabvu 2010, Gylfi akaita yake yakazara Iceland kutanga mukukunda kunogutsa 40 kukunda Andorra uye akapa rubatsiro rwechinangwa chechipiri kubva pakurova mahara. Gylfi akabatsirawo Iceland U21 divi kusvika 2011 UEFA European Under-21 Championship, vachitamba mumitambo miviri yekurwisa Scotland sezvo Iceland yakakunda 42 pahuwandu. Mumutambo wechipiri, Gylfi akarova zvibodzwa zviviri muhafu yechipiri kuti ave nechokwadi chekuti Iceland yakahwina mutambo 21. 