PSG of course do not want to lose Mbappe and will do everything they can to keep him.
However sporting director Leonardo wants to be prepared for the worst just incase it does happen.
The club have been tracking Griezmann for quite some time and have tried to lure him away from Atletico on more than one occasion.
Real Madrid are the club best placed to prise Mbappe from PSG, while Liverpool have also been linked with a move for the forward.
PSG reportedly want to replace Mbappe with Barcelona star Griezmann (Image: GETTY)
Jurgen Klopp recently defused speculation by claiming the Reds cannot afford Mbappe, but that could change should Mohamed Salah or Sadio Mane leave the club.
Sport claim any potential buyer would need to stump up around £260million to convince PSG to let their superstar leave.
Like the Parisians and Griezmann, Mbappe has been on Los Blancos’ radar for many years.
During his time at Monaco back in 2013, the forward and his family visited the Santiago Bernabeu and Valdebebas in Madrid.
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Liverpool have been linked with a transfer for Kylian Mbappe (Image: GETTY)
He even met Cristiano Ronaldo, Zinedine Zidane and Carlo Ancelotti who was the manager at the time.
The idea behind the visit was to get a feel for Madrid and to see whether it was a place Mbappe could move to, to develop his career.
There had been an offer from the La Liga giants who were trying to persuade him to join them but Mbappe’s family wanted him to continue living in Paris in his parents’ home.
He is the one that has slipped through the net and having made a £125million switch to PSG in 2018, his price tag could now be double that.