Halkaan ka sii aqri faqradan - Héðinn wuxuu tartamayay Horyaalka Iceland sanadkii 1991, laakiin ma uusan ciyaarin mid kale ilaa 2006, halkaas oo uu ku dhammeeyay kaalinta labaad. Sidoo kale ma uusan ciyaarin Olombikada Chess inta lagu gudajiray muddadan, isagoo ku soo laabtay 2008
si aad u hesho 4/7. Sannadkii 2009, wuxuu ku guuleystay Reykjavik Open markii uu ka adkaaday Yuriy Kryvoruchko iyo Hannes Stefánsson. Wuxuu mar kale u ciyaaray Iceland Olombikada 39aad ee Chess, isagoo dhaliyay 6/10. Wuxuu tan iyo markii uu ku guuleystay Horyaalka Iceland laba jeer oo kale: 2011 iyo 2015.