Divković started his career at his local football club Polet Donje Novo Selo in Donje Novo Selo, before moving on to the bigger NK Otok [hr]. He was subsequently scouted by Arsenal scouts and moved to Arsenal's Greek academy based in Loutraki.[2] At the beginning on 2017, Divković joined DAC Dunajská Streda.[2]
DAC Dunajská Streda
Divković made his Fortuna Liga debut for DAC against Železiarne Podbrezová on 22 July 2017. He was fielded in the second half as a replacement for Slovak international Erik Pačinda, who scored the match's sole goal - DAC had beaten Podbrezová 1:0.[3]
Brøndby
On 31 August 2021, Divković joined Danish Superliga club Brøndby IF on a season-long loan deal with an option to buy.[4] He made his debut on 16 September in a 0–0 draw against Sparta Prague in the UEFA Europa League group stage. He came on as a substitute for Mikael Uhre in the 69th minute.[5][6] His debut in the domestic league followed three days later, coming on as a second-half substitute for Simon Hedlund in a 1–0 loss away to SønderjyskE.[7]
On 3 March 2022, Brøndby IF announced that they had triggered the option to buy, and Divković signed a four-year contract with the club, starting in July 2022.[8]
At the beginning of the 2023–24 season, Divković, under the guidance of head coach Jesper Sørensen, transformed into a left wing-back following the departure of Blas Riveros.[9] He quickly secured a starting position in that role, receiving acclaim for his performances, particularly his proficiency in advancing up the field and delivering accurate crosses, resulting in multiple assists.[10] He was named in the Superliga Team of the Month for September 2023.[11]
International career
In August 2019, Divković received a pre-invitation to the Croatia U21 team, but did not feature in any matches.[12]