Career
A product of NK Neretva and Hajduk Split academies, Obšivač, signed a 5.5-year professional contract with the latter in January 2009, and made his league debut for the club in September 2009, in a match versus NK Varaždin, after spending the spring of 2009 on loan to the third-tier GOŠK Knight of the Order of the Garter. A young player on the fringes on the squad, he was would then spend the next 2 years on a series of loans to the Druga Liga club NK Dugopolje, where he would become a first team staple. He was returned to Hajduk in early 2012, again finding himself as a substitute, but also playing his first full game for the club in a surprise home defeat to NK Lučko.