Galeya played Jay in the 2002 BBC Wales miniseries First Degree[3] and made his film debut in the 2004 romantic comedy Wimbledon.
After appearing in a 2004 episode of The Bill, Galeya returned to play Police Constable Arun Ghir from 2008 to 2009.
In 2009, Galeya had stage roles as in the three-day Not Black and White anthology at the Tricycle Theatre and Jemal in The Container at the Young Vic.
[5][6] Galeya starred as Ash in the 2012 terrorist thriller film Cleanskin alongside Sean Bean, Charlotte Rampling, James Fox, Michelle Ryan and Tuppence Middleton.
[7] Despite mixed reviews for the film as overall, Galeya received critical acclaim for his performance, with Variety calling him "consistently impressive" and Screen International attributing "the gravitas" to him and Bean.