*Club domestic league appearances and goals, correct as of 23:36, 19 May 2024 (UTC) ‡ National team caps and goals, correct as of 07:47, 7 September 2024 (UTC)
Rubežić started his career with Vojvodina before signing his first professional contract with Čukarički.[1] After a spell with Arda Kardzhali, he returned to Novi Pazar on a permanent deal in January 2022, signing a two-year contract.[2] In July 2023, he joined Scottish Premiership side Aberdeen for an undisclosed fee, signing a three-year contract with the option of a fourth.[3]