In 2011, he was the top point scorer at the IRB Junior World Championship[2] and retained his place in the Auckland squad.

Anscombe made his debut for Auckland's Blues in 2012, coming on to replace Michael Hobbs in the round two match against the Chiefs in Hamilton.

[5] On 24 July 2014, Anscombe moved to the UK to sign for Welsh region Cardiff Blues on a long-term deal as he is Wales qualified through his mother.

[11] He made his full international debut for Wales versus Ireland on 8 August 2015 as a second-half replacement.

On Saturday 16 March 2019, Anscombe was named Guinness Man of the Match having scored 20 points in Wales's 25-7 Grand Slam-winning victory over Ireland at the Principality Stadium.