The two players have been linked to moving in opposite directions, only when finances are considered too complex at different times.
According to ESPN, negotiations have begun between both parties in the hope of finding a mutually acceptable solution.
Barcelona are determined to sign a new striker before closing the transfer market window on Tuesday, even if that means allowing Griezmann to return to Wanda Metropolitano.
The report also adds that at present there is a feeling that the agreement between the two could be difficult to reach as there are only a few hours left in the summer transfer market window.
Joao Felix was signed as Antione Griezmann’s replacement when the French striker arrived to Camp Nou in 2019.