Sigurvin began his career with ÍBV and he made his league debut for the club at the age of 16, coming on as a substitute for Steingrímur Jóhannesson in the 2–2 draw with FH on 10 June 1993.
Sigurvin netted his first goal for KR in the 2–4 loss to Valur on 25 June 2001, and went on to score twice more during the season as the team ended the campaign in seventh place.
Sigurvin was offered a new contract by FH at the end of the 2007 season but he rejected it, announcing that he was considering retiring from football in order to spend more time with his family and concentrate on his career as a lawyer.
[8] Sigurvin played only five matches during his first season with Grótta as the club secured their 2. deild status with a seventh-place finish.
He became an integral part of the team the following campaign, however, scoring 12 goals in 18 league matches as the side won the division and promotion to the 1. deild.
Sigurvin made his final league appearance for Grótta on 2 June 2011, coming on as a substitute for Andri Björn Sigurðsson in the 1–0 win against BÍ/Bolungarvík.
On 14 May 2012, he signed for Úrvalsdeild side Fylkir, but was immediately loaned to 3. deild outfit SR in order to regain match fitness.
Sigurvin played five league matches for SR during a two-month loan spell, scoring on his final appearance in the 2–7 home defeat to ÍH on 19 July 2012.
[13] On 27 July 1997, Sigurvin won his first senior international cap, coming on as a substitute for Sverrir Sverrison in the 1–0 win over the Faroe Islands.
It was more than three years until he was selected again for the national team, when he earned his first start for Iceland in the 1–2 friendly defeat to Uruguay on 11 January 2001.