The Paris outfit are reportedly cracking under pressure from the Brazil star and could let him go if Barcelona offered £180million.
The report further indicates that Blaugrana want to complete the deal by Wednesday and present Griezmann next week to the Catalan fans alongside Frenkie de Jong is due in Nou Camp this week to complete his €75m transfer from Ajax.
"Negotiations are ongoing. The player's entourage told me: 'There are still a lot of things to sort, but it will get done'".
It would be a win-win situation for both clubs as it would pave the way for Neymar to make his much-wanted return to Spain.
Meanwhile, Barcelona icon Pep Guardiola says he doesn't know if Neymar would be the same player he was during his first spell in Catalonia if he returns there from Paris Saint-Germain this summer.
Coutinho replaced Neymar at Barcelona in 2018, but neither has had that great of a time at their new club. The world's most expensive player continues his recovery work in Brazil, while also supporting his Selecao teammates at the Copa America. He formed a feared attacking trident alongside Lionel Messi and Luis Suarez, scoring 68 goals for the club.
La Liga president Javier Tebas has said he would rather Neymar does not return to La Liga if he can not improve his behaviour. We've worked hard to maintain the values of La Liga and we don't want to change that image.
Coutinho joined Barca 18 months ago in a club record deal worth a potential €160m.
Since singing for PSG in 2017 Neymar has won the French league in consecutive seasons while also winning the French Cup and League Cup.
Truce emerges on China-US tariffs; easing of Huawei ban
Soy exports to China, a market on which USA farmers had come to depend heavily, fell 75 percent a year ago to just $3.1 billion. Negotiations getting back on track is good for China and the U.S. , and the whole world as well.
Vijay Shankar ruled out of CWC'19
India lost their previous match to England by 31 runs here on Sunday and will take on Bangladesh at the same venue on Tuesday. India all-rounder Vijay Shankar has been surprisingly ruled out of the ongoing ICC Cricket World Cup 2019.