Whakakiia te rerenga e whai ake nei: Mai i te tau 2000 ki te 2008, i whakataetae a Stefán i roto i nga whakataetae ao e iwa mo Iceland: e rima nga wa i te Chess Olympiad (
2000, te poari rahui tuarua; 2002, poari rahui; 2004, te poari rahui tuarua; 2006, poari rahui; 2008, poari 4) me nga wa e wha i te European Team Chess Championship (2001, poari 4; 2003, poari 3; 2005, poari 2; 2007, poari 4). Ko tana kaute katoa i te Olympiad he 23/41 (+ 18 <unk> 13 = 10), a ko tana kaute katoa i te Whakataetae Rōpū o Europi he 161⁄2/32 (+ 11 <unk> 10 = 11). Ko te hua pai o te Orimipia o Iceland me Stefán i runga i te kapa ko te 22 i te 2002, a ko to raatau hua pai o te whakataetae kapa Pakeha ko te 20 i te 2001 me te 2007.