The midfielder impressed during a loan spell a the Stadium of Light last season.
Arsenal's Aaron Ramsey and Sunderland's Yann M'Vila
According to L’Equipe, Yann M’Vila is close to completing a permanent return to Sunderland.
The French midfielder spent last season on loan at the Stadium of Light, securing a season-long deal in the summer transfer window.
He impressed across the campaign, putting in a series of accomplished performances as they eventually managed to avoid relegation.
Patrick van Aanholt celebrates scoring the first goal for Sunderland with DeAndre Yedlin and Yann M'Vila
The Black Cats were keen to get him back on a permanent basis as a result, with that stance not changing despite David Moyes replacing Sam Allardyce in charge.
However, they were struggling to reach an agreement with Rubin Kazan for his services, with the asking price thought to be the major issue.
Sunderland's Yann M'Vila celebrates at the end of the match
That appears to have changed though, with L’Equipe now reporting that he is set to complete a return.
According to the French newspaper, he has agreed a four-year deal with the Black Cats, who made every effort to bring him back to the North East this summer.
Should he complete his move as expected, he will be Moyes’ second signing this summer after he completed a move for Papy Djilobodji on Friday.
Sunderland manager David Moyes before the match