 On 1 July 2012, Musolli completed a transfer to Albanian Superliga side Kukësi.He made his debut later on 25 August in the club's first ever top flight match against Luftëtari Gjirokastër which ended in a goalless draw.On 22 May 2016, Musolli played in his second Albanian Cup final match against Laçi and scored the last penalty in the subsequent shoot-out win which secured Kukësi's first ever Albanian Cup trophy.