Grujcic is a youth product of
Austria Lustenau and AKA Vorarlberg. He began his senior career with
Dornbirn in the
Austrian Regionalliga in 2017. On 30 November 2017, he signed a pre-contract with his childhood club Austria Lustenau that ran from January 2018 to June 2020. When his contract expired, he moved to
Wacker Innsbruck in the summer of 2020. Wacker Innsbruck ran into financial issues in the summer of 2022, and on 27 April 2022 Grujcic was free to leave the club on a free transfer. On 31 May 2022, he once again transferred to Austria Lustenau as they were newly promoted to the
Austrian Football Bundesliga for the 2022–23 season. On 26 June 2024, Grujcic signed with
Fortuna Sittard in the Netherlands for two seasons, with an optional third season. On 2 July 2025, Grujcic moved to Polish
second division club
Wisła Kraków on a two-year deal, with an option for a third year. ==Personal life==