Born in Čapljina, Bosnia and Herzegovina, Prce played with the youth academy of Croatian club Hajduk Split.

[4] On 23 October 2016, Prce made his first team debut for Lazio, replacing Felipe Anderson in a 2–2 draw against Torino in Serie A.

[7] On 31 January 2018, Prce moved to Croatian club Istra 1961 again on a loan deal.

[8] On 17 July 2018, he moved abroad and joined Cypriot club AC Omonia on a three-year contract.

[10] On 15 September 2021, East Bengal announced that Prce had joined the Indian Super League club on a one-year deal.