He currently plays for Gokulam Kerala FC, wearing the number 25 shirt. He plays primarily as a Forward. His preferred foot is Right. His current market value is estimated at 250K €.

In the Indian League Division 1 2024-2025 season, Matija Babović scored 4 goals and provided 0 assists across 20 appearances, averaging 0.2 goals per game with 4 shots attempted and 4 on target.