Career
Edmundsson started his career with B68 Toftir. In December 2009, he joined Newcastle United on loan until the end of the season, with a view to a permanent deal, after a successful trial during a reserve friendly against Hibernian. He signed a permanent deal in June as a hot prospect for the future.
Edmundsson made his first team debut for Newcastle in a friendly against Norwich City on 25 July 2010.
On 7 January 2011, Edmundsson joined Gateshead on a 28-day loan. He made his Gateshead debut on 8 January 2011 against Kidderminster Harriers.
Edmundsson signed for Viking on 15 February 2012. In December 2014 after having played for Bachelor of Arts and HB in the Faroe Islands, he signed a two-year contract with Vejle Boldklub.
In January of 2016 Edmundsson signed a 2 and a half year contract with Danish Superliga club Odense Boldklub.
On 28 November 2015, Edmundsson scored what Danish TV3+ commentators later dubbed as "The Goal of the Century" in Danish football, and made comparisons with high profile players such as Lionel Messi, George Best and Diego Maradona. In a 1-3 loss against Silkeborg IF in the Danish 1st Division, Edmundsson shook off most of the Silkeborg midfielders, and danced through the middle into the box, evading three more challenges, before hitting a placed shot in the back of the Netto. He scored his first senior goal in the 2–1 defeat to Estonia on 11 August 2010, this was the first goal of the Union of European Football Associations Euro 2012 qualifying.
On 14 November 2014, he scored the only goal of the game to defeat Greece in Piraeus, the Faroes" first competitive victory since June 2011.