Faʻaauau mo lenei palakalafa - Mai le 2000 i le 2008, na tauva Stefán i tauvaga faʻavaomalo e iva mo Iceland: lima taimi i le Chess Olympiad (2000, 2nd reserve board; 2002, reserve board; 2004, 2nd reserve board; 2006, reserve board; 2008
, laupapa 4) ma fa taimi i le European Team Chess Championship (2001, laupapa 4; 2003, laupapa 3; 2005, laupapa 2; 2007, laupapa 4). O lana togi atoa i le Olimipeka e 23/41 (+18<unk>13=10), ma o lana togi atoa i le European Team Championship e 161⁄2/32 (+11<unk>10=11). O le taunuuga sili ona lelei a Iceland i le Olimipeka ma Stefán i le au o le 22 i le 2002, ma o le latou taunuuga sili ona lelei i le European Team Championship o le 20 i le 2001 ma le 2007.