[3] In April 2024, Murley scored in the Champions Cup as Harlequins won their first ever knockout game in the competition defeating Glasgow Warriors 28-24 at home in the Round of 16.
[12] An elbow injury sustained in a league match against Northampton Saints ruled him out of selection for the 2019 World Rugby Under 20 Championship.
[13] In January 2023 he was called up by Steve Borthwick to the senior England squad for the 2023 Six Nations Championship however he did not make his international debut during the tournament.
[14] In February 2024, he was named in the England A side by coaches Steve Borthwick and George Skivington alongside Harlequins teammates Fin Baxter and Sam Riley to face Portugal.
[17] Off the back of this performance, and injuries to Immanuel Feyi-Waboso and Elliot Daly, he was called into the senior training squad for the 2024 Autumn Nations Series fixture against Japan.