PSG, however, have turned that down as well.
Sources say Neymar is trying to stay positive but he knows that a deal to see him returning to the Camp Nou is getting more and more hard.
The additional amount of Neymar which is around 170-200 million euros could lead to the deficit of 400 million euros which is against the rule of Federation Internationale de Football Association as they claim that "the difference between spending and sales on transfers cannot exceed 100 million euros", which means that Barcelona has to rake up 300 million euros in transfer between now and June 30, 2020.
And with the European transfer window nearing its closure, Balague has revealed that PSG were demanding a final offer be made for Neymar by both Barca and Real earlier today.
In July, Barcelona offered PSG 40 million euros plus Philippe Coutinho (now gone to Bayern Munich on loan) and Ivan Rakitic in exchange for Neymar.
Previously, Barcelona had insisted they would not include Dembele in such a deal, but that stance has softened, ESPN FC added.
It also cited a negotiating source within Barcelona who said that with such a written offer, Barcelona's board will be confident it has a chance to seal the deal.
The 22-year-old has suffered seven different injuries, including a hamstring tear he picked up in last week's 1-0 defeat to Athletic Bilbao.
The potential transfer of the Brazilian forward, has become a frustrating saga for the PSG squad and the club.
Former club Barcelona are at the head of the queue, but Real Madrid are also rivalling their arch-rivals - whilst Italian giants Juventus have an interest too. Despite that, Barca believe that every outcome remains possible and are not ruling anything out. Neymar is a key player on this team, and he decides if he's happy to stay or not. He has not played since injuring his ankle in Brazil's Copa America warmup against Qatar at the start of June.