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Belgian defender Vertonghen, 33, left Tottenham Hotspur after eight years at the north London club on Monday.
According to Corriere dello Sport, Roma want him as he is a friend of the Serie A club's sporting director Franco Baldini, formerly of Tottenham, who is responsible for their transfer strategy.
Gianluca Mancini of Roma celebrates with Chris Smalling of Roma after scoring the goal of 3-0 during the Serie A match AS Roma v Brescia Fc at the Olimpico Stadium in Rome, Italy on November 24, 2019
The same newspaper is also reporting today that Baldini still has no deal in place with United for Smalling.
The 30-year-old defender has spent the 2019/20 season on loan at Roma, making 35 appearances.
In our Paper Round today, here is our take on what could be next for Vertonghen...
"At 33, Vertonghen probably wants the longest contract on offer in order to maximise what will probably be his last big deal.
There are few clubs that would not be improved by his presence, with all of the top four likely able to make room for him in their backline, and there will no doubt be suitors from abroad this summer.
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