Career
In 2009, Kristján made his debut for Fachhochschule Hafnarfjörður in the highest Icelandic league. After an intership with Liverpool, he signed a three-year deal with the club and played in the youth academy until mid 2012. He returned to this former team where he made his real break through.
On 23 July 2014, it was announced that Kristján had signed a three-year deal with Dutch Eerste Divisie side Nippon Electric Corporation. In January 2016, Emilsson ended his professional career because of personal reasons.
Kristján played for several Icelandic youth squads and was called for the national team in June 2014. He has not made his debut yet.