However, PSG president Nasser Al-Khelaifi has now clarified the situation, insisting that they have not made any move for the player.
"I haven't talked with anyone from Real Madrid," said Al-Khelaifi. "Cristiano Ronaldo is a great player, but a Real Madrid player."
Sporting director Leonardo added: "Look, we haven't met anyone. As you know, at this moment we can't talk about the transfer market.
"This is not the time to think about the transfer market. Let's talk about the good things we have done on the pitch so far."
Ronaldo has struck 11 goals in nine league games this season.