Anthony Martial's agent recently revealed that the striker wants to leave Old Trafford in search of regular game time after making just seven Premier League appearances this season.
Eurosport has now reported that Aletico are keen on the French striker and are prepared to negotiate a swap deal with the Manchester outfit.
The report does not reveal which player but reports in England claim United are still interested in Atletico full-back Kieran Tripper.
United interim manager Ralf Rangnick has also revealed Martial has not said anything to him about wanting leave next month.
"To be honest, what his agent says via the media is not of that much interest to me.”
Martial has also been linked with a switch to Newcastle United, who are looking to bolster their squad after the arrival of the new wealthy owners.