Despite scoring 100 goals from 144 appearances in all competitions, the world's most expensive player has endured a mixed five years at Parc des Princes.
A contract extension and a clause being activated at the start of this month has led to the Brazilian's contract now running until 2027.
However, despite his value and the length of his renewed terms, there is a growing feeling that the 30-year-old will be allowed to leave PSG in the right circumstances this summer.
According to 90min, intermediaries have enquired whether there is any concrete interest from several teams in England.
That alleged development comes despite the suggestion that PSG officials remain unsure over how to handle the situation, aware that no club will pay anywhere near to the £200m-plus fee that they shelled out in 2017.
There may also be a reluctance to sign Neymar unless he is prepared to reduce his wages, even at Chelsea where new owner Todd Boehly is prepared to spend big money to freshen up Thomas Tuchel's squad.
Earlier this week, Neymar's compatriot Thiago Silva acknowledged that he would be fully in support of his friend and former PSG teammate joining him at Stamford Bridge.
Speaking in his homeland, the veteran centre-back said: "He has to go to Chelsea. If it happens, it will be for the best. He needs no comment. So far, I don't know anything, but I hope it comes to fruition."
PSG are currently in the opening days of a new era after Luis Campos was brought to the club as the new sporting director, replacing the outgoing Leonardo.