Career
He is a midfielder and plays for Keflavík. He has been selected for the Iceland national football team four times without making an appearance. Rúnarsson began his career as a youth player with Keflavík, before moving on to play for their senior team
In 2006, he moved to Danish club Silkeborg, where he spent two years before returning to Keflavík in 2008.
He left the side in 2010, signing for Úrvalsdeild champions Fachhochschule , where he spent four years. In 2014, he signed for Keflavík for a third time on a two-year contract.