The 'Bulletproof' duo, made up of singer Elly Jackson and producer Ben Langmaid, named Heaven 17 as an influence behind their '80s synth sound.
"Glen Gregory, the lead singer with Heaven 17, heard I was a fan and has been in touch. We email each other a lot," singer Elly Jackson told the Daily Star. "We finally met at an awards do recently, he's lovely.
"Greg and Ben are going to meet up to have a coffee and discuss some things. We'll see what happens."
Jackson, who is the daughter of Bill actress Trudie Goodwin, went on to criticise acts who record collaborations on their debut albums.
"I find it a bit unfocused of artists to collaborate with people so early on," she said.
"It's strange to me that some bands' first albums are recorded with ten different artists.
"You end up thinking: 'Well, what have you actually done here?'"
La Roux's self-titled debut album, which peaked at number two last month, was recently shortlisted for the Mercury music prize.