France striker Mbappe, a transfer target of Real Madrid, signed a three-year deal at PSG which drew criticism from LaLiga president Javier Tebas.
There were no dramas for Real Madrid ahead of the Champions League final as they played out a goalless draw in their final LaLiga game.
Robert Lewandowski has been tipped to sign for Barcelona, but Javier Tebas has cast doubt over whether the club can afford the transfer.