Manchester United made an offer to the player to try and sign him and, at worst, avoid his renewal
Although according to various sources the negotiations for the renewal of Neymar's contract are going slowly but smoothly, big European teams are not passing on the Brazilian player. For now, if PSG, Real Madrid and Manchester City have given up, Manchester United seem to be really eager to intefere with Barça's talks with their player, according to what Fernando Polo and Toribio Blanco said in Mundo Deportivo. Mostly because a renewal of the contract would suppose an immediate rise of the buyout clause, which would make a future transfer of the player even more expensive.
With the arrival of Mourinho on the bench, the Red Devils (who won't play the Champions League next season) want to move forward and recover the lost prestige since Alex Ferguson has left. To bring a star like Neymar would be, undoubtedly, a big statement that would bring them quickly back to the foreground. However, the negotiations for the Blaugranas, led by Raül Sanllehí and André Cury are going well. The idea is to sign the new contract from tomorrow, 1st of July (first day of the 2016/17 season), so as the said contract doesn't affect the club's accounts for the 2015/16 season.