The Irish rock band - made up of Steve Garrigan, Jason Boland, Vincent May and Mark Prendergrast - are writing and recording their second album and are looking for a producer to work with.
Guitairst Mark told BANG Showbiz: ''Rick Rubin would be amazing! Pharrell would be a lot of fun, he's untouchable, he's king of the world right now.
''It's starting to get serious now [for the band] ... We're in a good place at the moment.
''There are about 15 songs that are there, we're probably going to write and record about another 15 and then pick our favourite 10 or 11 and go into the studio.''
Mark insists the band won't be veering away too much from their original sound on 'In a Perfect World' when it comes to their new album but say the recording process will be a lot different.
He explained: ''It's obviously going to sound similar. But on our first album, Jay, our bass player, didn't have a lot to do with writing because he wasn't around, we didn't have him yet.
''He's writing some great songs now. So it's the whole influence of having somebody else involved and he'll have a huge impact on the second album. It's probably a lot better.''
Meanwhile, the band will release a cover of the Paul McCartney's 'Coming Up' on 7'' vinyl for this year's Record Store Day on April 19.
They will also perform at Benicassim in Spain in July and V Festival, along with shows in London, Leeds and Liverpool in coming months.
The actress spoke about raising her 11 year old daughter Matilda in the wake of Heath Ledger's death eight years ago.