He began his career as a member of Australian children's musical group Hi-5 from 2013 to 2016, starring in the television series and performing in international tours.
At WAAPA, Melham performed in a range of musicals, including Ragtime, Violet, Crazy For You, A Chorus Line, Xanadu, How To Succeed in Business Without Really Trying, and Into The Woods.
[6] He starred in the documentary style cinematic release, Some Kind of Wonderful, which depicted the audition process, and appeared in three television series of Hi-5 House.
[12] He rejoined Michael James Scott as Genie, and Arielle Jacobs as Princess Jasmine, the trio who formed the original Australian cast.
[16][17] In July 2024, he joined the Australian production of Wicked as the Fiyero replacement in Melbourne and Brisbane while original cast member Liam Head was recovering from a knee injury.