Kammala jumla mai zuwa: Héðinn ya yi gasa a Gasar Iceland a 1991, amma bai sake yin wasa ba har zuwa 2006, inda ya gama na biyu. Hakanan bai buga wasa a gasar Chess Olympiads ba a wannan lokacin, ya dawo a 2008 don cin 4/7. A shekara ta 2009, ya lashe gasar Reykjavik Open a kan Yuriy Kryvoruchko da Hannes Stefánsson. Ya sake taka leda a Iceland a gasar cin kofin duniya.
Gasar Chess Olympiad ta 39, tana da maki 6/10. Tun daga wannan lokacin ya lashe Gasar Iceland sau biyu: a cikin 2011 da 2015.