Le Parisien reports that Mourinho is keen to bring in Van der Wie as back-up for Branislav Ivanovic at right-back.
Van der Wiel has also been linked with Manchester United in recent seasons.
Van der Wiel has previously claimed he is keen to stay in Paris, but reports claim the French side are ready to sell.
Van der Wiel’s agent, Mino Raiola has held talks with PSG over the past week about the Dutchman’s future.