Nyorai mberi kweiyi ndima - Kubva muna 2000 kusvika muna 2008, Stefán akakwikwidza mumakwikwi mapfumbamwe epasi rose eIceland: kashanu paChess Olympiad (2000
, 2nd reserve board; 2002, reserve board; 2004, 2nd reserve board; 2006, reserve board; 2008, board 4) uye kanokwana kana paEuropean Team Chess Championship (2001, board 4; 2003, board 3; 2005, board 2; 2007, board 4). Nhamba yake yose yeOlympiad yaiva 23/41 (+18<unk>13=10), uye nhamba yake yose yeEuropean Team Championship yaiva 161⁄2/32 (+11<unk>10=11). Mugumisiro wakanakisisa weOlympia weIceland naStefán muchikwata chaive 22nd muna 2002, uye mugumisiro wavo wakanakisisa weEuropean Team Championship waiva 20th muna 2001 na2007.