[2] Solheim started his career at the local club Loen IL,[3] continuing at Stryn TIL in the lower divisions.

He attracted interest from several other Norwegian clubs after the successful campaign, but opted to move abroad, signing for Kalmar FF in the Swedish Allsvenskan.

[7] Solheim made his competitive debut for Kalmar on 2 April 2013 against Syrianska FC, on the first match day of the 2013 Allsvenskan.

[4] He played as a regular at Kalmar during the upcoming two seasons, featuring in a total of 50 games in Allsvenskan, scoring on 5 occasions.

On 31 March 2015, the last day of the Swedish transfer window, Hammarby IF announced that they had signed Solheim on a three-year contract.