Calciomercato.it says United are keeping a close eye on the development of Svanberg.
United recently sent scouts to Italy to watch Svanberg in action against Fiorentina.
United are now 'weighing up' a summer move for the 23-year-old Swede.
Svanberg has a deal with Bologna to 2023, with the midfielder having arrived in 2018 from Malmo.
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