Express Sport understands Manchester United have made an enquiry about Matuidi as Jose Mourinho looks to improve his options in midfield.
Mourinho is expected to offload Marouane Fellaini this summer, which would make room for the £30million-rated Matuidi.
Matuidi has been offered a new contract to extend his stay at PSG, where his current deal is due to expire at the end of next season.
But the 30-year-old insists he is yet to make a decision on his future.
Man Utd target Blaise Matuidi coy on PSG future
Speaking after yesterday's Coupe de France victory over Angers, Matuidi said on his future: “I don’t know yet.
"I am feeling good in Paris. It’s hard as you don’t know the real position of the club.
“PSG made a proposition to me. They are open to everything when it comes to me. There is no decision taken so far.
“Honestly, I don’t want to lie, I don’t know yet. I am feeling good in Paris.
“Even if in the future I should leave, Paris stays the club of my heart. And it would always be like that.”
Matuidi is said to be interested in speaking to United, where he would like up with France international team-mate Paul Pogba.