The British boyband are rumoured to have met with the HBO drama's executive producer Mark Wahlberg in Barbados, speaking about a possible cameo appearance in the planned movie version.
"The boys got on like a house on fire with Mark when they met him at Sandy Lane resort and they've kept in touch," a source told The Mirror.
"Mark is a big fan and wants them to star in the film in some capacity. The Wanted are hot right now, and Mark is right to want to capitalise on this."
The Wanted recently claimed their first US top five hit with 'Glad You Came', which has been covered by the cast of Glee.
Meanwhile, their boyband rivals One Direction have signed up to appear on an upcoming episode of Saturday Night Live.
> The Wanted accosted by police on MTV's Punk'd
Watch the video for 'Glad You Came' by The Wanted below: