The band also revealed they would be playing "loads" of new music in their Glastonbury set
Bastille have called the decision to leave the EU “the worst news you could imagine”.
The band will perform on Glastonbury’s Other Stage later today (June 24) and spoke to NME backstage ahead of their set.
“Our first day at Glasto been a bit rubbish because of waking up to the news about Brexit and stuff, which for some people is quite sad and quite shocking,” said frontman Dan Smith.
“That tends to put a downer on your day when you wake up to the worst news you could imagine,” added guitarist Will Farquarson.
Asked if they would mention the results of the EU referendum on stage, Smith said: “I dunno, I’m not sure. it’s always tricky. Obviously everybody’s got an opinion and if you’re in a band and you’ve got an opinion and you express, often people will use that as an excuse to knock you for it.
“If it feels natural we’ll say something. I was sort of hoping to go up on stage and be like ‘We’re still part of Europe!’, but that little daydream is over.”
The band also revealed they would be playing “loads” of new music during their performance later and said their forthcoming new album is an eclectic mix of sounds.
“I think every song is quite different on the album,” Smith said. “[‘Good Grief’] is typically us in that the lyrics are really fucking depressing, but it’s quite sort of euphoric and uplifting and trying to capture that feeling somehow.
“I kind of think the whole album’s really different. It goes from guitar and vocals to big horn arrangements to hip-hop drum production and sampling, minimal electronic stuff. It jumps all over the place. It’s like a mixtape, but there’s a lot of stuff for people to pick through.”