The news comes just days after the band denied rumours that they would perform their last show in the headline slot at Glastonbury 2013.
Rolling Stone reports that sources close to the band have claimed that they are "strongly considering" at least one live concert later this year, with the prospect of a tour also being looked at.
Guitarist Keith Richards claimed that current plans are all "all very hush-hush", adding: "I'm going over to London for a bit, so I'll find out more then".
The band have spent recent months rehearsing and playing in New York, in order to provide footage for an upcoming documentary which is also being produced to celebrate the band's 50th anniversary.
Director Brett Morgen said of the footage: "Having screened through 50 years of material over the last six months, I would rank it up there with anything I've ever heard from them. They were extremely tight."
The first rehearsals in New York were the first time the band had played together since the final night of the 'A Bigger Bang' tour at the O2 arena in August 2007.
The documentary is set for a release in the autumn.