Filip Đukić was born in Hvidovre, Capital Region of Denmark, and started playing football as a four-year-old for local club Rosenhøj Boldklub.
[6] Đukić made his league debut two months later, on 7 October 2018, replacing Alexander Horsebøg as the team performed poorly.
[7] In October 2020, Đukić joined league rivals Fremad Amager,[8] before returning to Hvidovre on a short-term contract just months later, in January 2021.
[12] On February 3, 2025, on transfer deadline day, it was confirmed that Đukić moved to Danish 1st Division club AC Horsens on a deal until June 2026.
[13] On 5 June 2019, Đukić gained his first cap for the Montenegro national under-21 team, coming on as a substitute during the second half of a 0–0 friendly draw against Georgia.