[4] In June 2020, Besson signed a three-year contract with Élan Chalon and was subsequently loaned to Saint-Quentin BB of the LNB Pro B.

[9] Besson was courted by several European clubs during 2021, including Baskonia and ASVEL, and was in the running for the NBA draft.

[10] He withdrew his name from the draft after being unable to participate in work-outs due to an ankle injury.

[11] On 23 September 2021, Besson signed with the New Zealand Breakers of the Australian National Basketball League (NBL) for the 2021–22 season.

[12][13] In his debut for the Breakers on 4 December, he scored 10 points in an 89–65 season-opening loss to the South East Melbourne Phoenix.

[20][21] His minutes decreased after returning from injury,[21] as he helped the team reach the Pro A finals, where they lost 3–0 to Monaco.

[25] On 26 February 2024, Besson signed with Openjobmetis Varese of the Lega Basket Serie A.

[26] On September 4, 2024, Besson signed with Manisa Basket of the Basketbol Süper Ligi (BSL).

[31] In June 2021, Besson was called up to the French Under 20 national team ahead of the FIBA U20 European Challengers.