RMC Sport state that United have formally made their interest in Camavinga known and that talks between the Red Devils and the teenager's agent have already begun with further discussions set to take place in the next few days.
Camavinga has just 12 months remaining on his current contract and has also been linked with PSG and Real Madrid.
Breaking ' Manchester United to meet with Eduardo Camavinga's entourage next week, according to RMC. More follows.
- Get French Football News (@GFFN) June 27, 2021
Rennes could be keen to cash in to avoid losing the 18-year-old on a free transfer.
United are set to turn their attentions to Camavinga once they wrap up Jadon Sancho's transfer from Borussia Dortmund.
The Old Trafford club still need to agree on a price with Dortmund for Sancho, but this is expected to go through soon - perhaps even before the end of the Euros.
Eduardo Camavinga - Welcome To Manchester United?
Future Star:dizzy: pic.twitter.com/KiF3BWsvK8
- HYS Football (@HYSFootball) June 27, 2021
Camavinga has already been capped three times by France, scoring on his first start against Ukraine.
Earlier this year his agent Jonathan Barnett believed his client would be the subject of some big bids in this summer's transfer window.
He told AMTV in May: "Believe me we have a lot of offers for this year, a lot of offers, and good ones. I mean top, top clubs.
"We don't want to rush. There is the right time to move on and playing games is the most important thing at his age.
"He's probably the best young player in the world. He has just turned 18.
"He's an unbelievable talent. He could play in any team in the world."
Camavinga, though, is yet to give any clear indication of where his future lies.
Back in September, he said: "Certainly when a big club is interested, it is nice. But I am not getting carried away.
"I took this choice with my family [to stay at Rennes]. We are happy to have made this decision. I just need to focus on football and not think too much about everything else around it."
Angola-born Camavinga made his debut for Rennes at 16 and has had a stadium named after him near Fougeres, where he grew up, in Brittany.
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