Biberović was born in 2001 in Zenica, where he started his career in KK Ten Zenica.[3] At the age of 15, he moved to Sarajevo to the OKK Spars. He drew attention especially with his performance in the Adidas Next Generation Tournament with the Spars team in the 2016-2017 season. Playing four games with Spars in this tournament, Biberović stayed on the court for 32.9 minutes and averaged 17.8 points, 6.3 rebounds, 2.3 assists and 1.3 blocks.[1]
Fenerbahçe
His potential earned him attention and he wound up linking up with Fenerbahçe Beko, a club that plays in both the Basketball Super League in Turkey and the EuroLeague. He did not appear in any domestic games for the club during the 2018-19 campaign due to license rules, but he did make his EuroLeague debut in the match against Panathinaikos on February 8, 2019 at the age of 18. Not much changed the following year, as he made a few EuroLeague appearances but did not play in any Turkish League games. Also, he played at the Turkish Youth League, a level of competition that can hardly be considered challenging for a prospect of his caliber.[4]
During the 2020-21 season, though, Biberović played a regular role in the Basketball Super League, appearing in 35 games and starting 11. He continued playing sparingly in EuroLeague games, but he did score 13 points — then his most in a EuroLeague game — against ALBA Berlin in December 2020 and, with Fenerbahçe missing several players due to COVID-19, played at least 14 minutes in the club’s three EuroLeague playoff games and averaged 7.3 points and 3.7 rebounds.[4]
On 19 October 2023, he scored his career high in EuroLeague with 17 points (5/8 three points shot) and 4 rebounds performance win over 101-86, against Asvel.[5]
On 25 December 2023, he scored his career high in Basketball Super League with 29 points (with 7 rebounds, 2 assists, 1 steal, 34 pir) and 4 rebounds performance win over 98-58, against Darüşşafaka Lassa.[6]
In June 2018, he changed his international allegiance so that he could play for Turkey.[8] On 23 February 2024, he played his international debut with Turkey against Italy in the EuroBasket 2025 qualification game. He recorded 27 points, 8 rebounds and 4 assists in a 87–80 defeat.[9] On 25 February 2024, he scored 11 points (also 4 rebounds and 1 assist) including a game-winning buzzer-beater shot to give Turkey a 76–75 win.[10]