Career
A product of FMP"s youth system, Filip spent first five years of his career playing for their senior side, and a further year and a half playing for Crvena zvezda. In January 2013, he signed for Vojvodina Srbijagas for the remainder of the season. In August 2013, Čović signed for KAOD Dramas in the Greek Championship, but left the club in December citing personal reasons.
Shortly afterwards, he signed again for FMP. Filip"s father is Nebojša Čović, the current president of Crvena zvezda.