In August 2018, he participated at the Basketball Without Borders Europe camp in Belgrade, Serbia, representing Bosnia and Herzegovina.

[5] Following the 2020–21 season, Matković declared for the 2021 NBA draft, but withdrew his name from consideration on July 19, 2021.

[14] On 22 February 2024, Matković joined the Birmingham Squadron of the NBA G League[15] and on 14 July, he signed with the New Orleans Pelicans.

In November 2021, Matković expressed his interest to represent Croatia internationally in the senior competitions, if called.

[20] He made his debut for Croatia in February 2022, in the 2023 FIBA World Cup Qualifiers match against Sweden.