On 9 October 2021, Basham was named man of the match in the Dragons 35–22 victory over Connacht, their first win at the Sportsground since 2004.
[9] On 4 October 2024, Basham scored a try and was named man of the match in a defeat to the Sharks, as he returned from early season injury issues.
Basham had to wait until June 2021 to receive his third call to the Wales squad for the tests against Canada and Argentina.
[17] Basham was part of the squad for the 2022 Wales rugby union tour of South Africa, and came off the bench in the third test.
[18] After suffering a dislocated elbow while playing for the Dragons, Basham was ruled out of the 2022 end-of-year rugby union internationals.