Career
He made his debut for the Icelandic national team against Andorra in late 2012. Rúnar started his career at hometown club Tindastóll before switching to Hong Kong when he moved to the Capital Region at 17 years old. He played a season with Hong Kong"s reserve side Ýmir in the lowest league before moving to the senior squad, managing to have featured in then all four divisions of Icelandic football after appearing in the 2009 1. deild karla.
After two seasons with Hong Kong"s senior squad, he switched to Valur before the 2010 Úrvalsdeild season.
After the 2012 season, on 31 January 2013, Rúnar signed with Dutch Eredivisie side Zwolle on loan until the end of the 2012-2013 season, with an option for two more seasons. Shortly after arriving in the Netherlands Rúnar was injured and consequently couldn"t play.
In late April it was announced that he"d consequently be returning to Valur for the 2013 Icelandic season, although, due to his injury, he couldn"t be sure when he"d start playing. Rúnar is cleared to play with Valur as of 3 May 2013.
On 6 August 2013 it was announced that Rúnar had moved to Swedish Superettan side GIF Sundsvall, with Rúnar signing a contract until the end of 2016.
Rúnar played a few games for the youth sides of Iceland, eight games in total. After a good 2012 season, during which he scored 7 goals, he was picked for the senior squad for a 2014 qualifier match against Switzerland in October 2012 but was an unused substitute. International goal Current as of 14 November 2012.