The 29-year-old, spent the past two seasons on loan at Juventus, where he racked up 32 goals and 21 assists in 92 club appearances, but with the Italian giant opting not to make it a permanent move, the Spaniard's future is unclear.
He has been starting for Madrid in pre-season games – including netting a hat-trick against Juve earlier this month – but with Antoine Griezmann, Joao Felix and the club's top-scorer from last season Angel Correa all available, it appears Diego Simeone may prefer to cash in.
The report from The Athletic claims the Old Trafford side view a move for Morata as "a genuine possibility", with the price tag said to be in the neighbourhood of £30million.
It highlights the state of United's current forward stocks, with Edinson Cavani and Jesse Lingard departing, while Cristiano Ronaldo has reportedly requested a transfer, and the futures of Marcus Rashford and Anthony Martial are considered up in the air.
After a horrible beginning to their Premier League campaign, United are expected to be active for the remainder of the transfer period – with Metro also reporting Frenkie de Jong has told team-mates he will likely be headed to Manchester.
– The Daily Mail is reporting Chelsea have agreed to personal terms with 21-year-old Leicester City centre-back Wesley Fofana, although they have had two bids rejected as the asking price remains above £80m.
– The Daily Mail also claims United has told Paris Saint-Germain that Rashford is not for sale, with the Times adding that the French giant views him as a long-term partner to Kylian Mbappe.
– According to Sunday Express, Newcastle United has engaged Benfica in discussions about 21-year-old Portuguese midfielder Goncalo Ramos, who is said to be valued at £35m.
– Fabrizio Romano is reporting 19-year-old Udinese full-back Destiny Udogie is in England for a medical to confirm his £15m move to Tottenham, although he will be loaned back to Udinese for the remainder of the season.
– Nottingham Forest have agreed to a £15m move for Brighton striker Neal Maupay, per The Athletic.