The Spanish sports newspaper report that United have offered Turan a deal that Atleti would be unable to match.
Turan will leave the La Liga outfit over the next few days after his agent Ahmet Bulut confirmed he will be leaving.
The Turkish international was also closely linked with a move to Barcelona and PSG however, Bulut denied being in talks with both clubs but confirmed being in talks with three English clubs.
The Barcelona board also ruled out a move for Atletico Madrid winger Arda Turan according to radio Cadena SER.
Turan was rumoured to have agreed terms with United last week according to a TRT Spor program Futbol Günlüğü.
Bulut called into the Telegol football show on Channel 360 to refute claims made by the TRT football program presenter Ersin Düzen.
“Arda has not met with Manchester United or passed a medical when you find out who his new team are on Friday you will all agree that we made the right choice,” Bulut said.