Crystal Palace right-back Wan-Bissaka, 21, would cost United close to £70m.
The 27-year-old has one year remaining on his PSG contract and would cost United around £25m.
Everton are also interested in the Belgium international.
Speaking recently on his future, Meunier said: "The club and management know, I would like to finish my contract at PSG or why not extend it?
"If this is done, so much the better and if that is not done, we will see what is possible and we will go elsewhere
"At the level of rumours, I am quoted everywhere. Only beautiful clubs come out: Manchester United, Juve, Dortmund, these are just exceptional clubs."