Uremović made his Croatian First Football League debut for Cibalia on 17 July 2016 in a game against Hajduk Split.

[2] On 4 June 2018, Uremović signed a four-year contract with the Russian Premier League side Rubin Kazan.

[3] On 13 March 2022, Uremović's contract with Rubin was suspended until 30 June 2022, according to the new FIFA regulations related to the Russian invasion of Ukraine.

[8] On 31 August 2023, a day after terminating his contract with Hertha, Uremović returned to Croatia and joined Hajduk Split on a free transfer.

[11] On 17 May 2021, Uremović was named in the preliminary 34-man squad for the UEFA Euro 2020,[12] but did not make the final 26.