His first glimpse of first-team football was in October of the same year, when he acted as the reserve goalkeeper, but he only made his debut on 18 April 2015 in the home defeat to Rijeka, conceding two goals in the last 10 minutes of the game.

[7] After lack of opportunities, Grbić became frustrated about his club status, thus eventually rejecting the contract extension and joining Lokomotiva in summer 2018.

[14] After winning the 2020–21 La Liga with Atlético, Grbić was loaned out to French champions Lille for a season to get more playing time.

[17] Grbić made his UEFA Champions League debut in a group stage match on 14 September 2021, in a goalless draw with VfL Wolfsburg.

[21] After being relegated to third-choice goalkeeper following the arrival of Michael Cooper at the start of the 2024–25 season, Grbić joined Süper Lig club Çaykur Rizespor on a season-long loan on 9 September 2024.

[28] On 9 November 2022, Grbić was named in Zlatko Dalić's 26-man squad for the 2022 FIFA World Cup,[29] where he remained an unused substitute as Croatia finished third.