Spanish media outlet Don Balon say the Old Lady are desperate secure to secure his signature.
It’s suggested bigwigs at the Serie A giants want to bolster their midfield options having failed to successfully replace Paul Pogba over a year ago.
Don Balon say the news will frustrate Messi.
Rakitic has been an impressive performer since signing from Sevilla in 2014 and has linked up well with the Argentine superstar.
Reports over the summer said Messi is determined to keep the Croatian at the Nou Camp.
It's was claimed Barca chiefs have been receptive to Messi's request and have assured him Rakitic will not be offloaded.
However, with Barca continuing their chase for Liverpool star Philippe Coutinho, Don Balon say that could be about to change.
The Catalans were desperate to secure his services in the summer.
But Jurgen Klopp refused to play ball and snubbed repeated bids for his prized asset.
That hasn’t put off the La Liga giants, though.
Barca are widely expected to test Liverpool’s resolve again during the forthcoming transfer window.