Bastos, 27, has been linked with a move to Juventus all summer, but recently said he had no intention of leaving his current club.
Now, Le Parisien claims the winger is on the verge of signing a new contract, which would add two years to his current deal and run until 2015.
Juventus are reportedly still interested in signing Bastos but are running out of time, with the transfer window set to close at the end of the month.