Career
Sævar started his career at Valur before moving abroad to play in Belgium. He returned to Iceland and played a year in Norway and Switzerland to finish his career again at Valur. Sævar made his debut for Iceland in 1980 and went on to collect 69 caps, scoring 1 goal.
He played his last international match in an August 1992 friendly match against Israel, coming on as a substitute for Guðni Bergsson.