born in šabac, srnić started his career with local football club mačva. as a youth player, he had been sold to red star belgrade, along with his twin brother slavoljub. passing the club categories, twins joined the first team in 2010, but dragoljub failed to make any official senior appearance for the club. after they overgrown youth team, twins were loaned on dual registration to the serbian league belgrade side sopot. then both players moved on one-year loan deal to čukarički. twins sued the club, but later removed accusation and had been sold in 2013.