 Logi signed with Swedish club IFK Göteborg on 18 January 2011 after having been on trial with them in December 2010.Logi signed with Norwegian side Sogndal ahead of the 2014 season, where he was re-united with his previous manager from IFK Göteborg, Jonas Olsson.On 18 June 2011, Logi scored his first goal for Iceland U21 in the 3–1 win against Denmark U21 at the 2011 UEFA European Under-21 Football Championship.