Born in Durban, Liam Wright and his family arrived from South Africa when he was seven years old. He was educated at Brisbane's Anglican Church Grammar School (Churchie), playing two years in the 1st XV and representing Queensland Schools. Wright graduated as an OP1 student, enrolled in medicine at Queensland University of Technology and played his club rugby with Easts. In 2016 Wright was a member of the Queensland U20s that claimed the national title and he went on to win selection in the Australian U20s for the Junior World Cup in Manchester. Later that year he made his National Rugby Championship debut for Queensland Country debut against NSW Country Eagles at Toowoomba. In 2017, Wright celebrated an undefeated national title with the Queensland U20s, selection to a second Junior World Cup, Player of the Year honours for Australian U20s, a National Rugby Championship title with Queensland Country, an outing for Australia against the Barbarians and a call-up to the Wallabies’ Spring Tour as a development player. The following year Wright made his Super Rugby debut for the Reds against the Melbourne Rebels before a torn hamstring during the NRC saw him ruled out for the remainder of the season. In 2019, Wright was the only Queenslander to start every match of the Super Rugby season and he finished second to Samu Kerevi for the Pilecki Medal, awarded to the Reds’ Player of the Year.