Hojlund, 22, is expected to leave Man United this summer following the arrival of new £74 million signing Benjamin Sesko earlier in the window.
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The Denmark international has been heavily linked with a return to the Serie A, with AC Milan, Napoli, and Inter all said to be interested.
As the race to sign the striker heats up, Italian publication Corriere Dello Sport reports that former teammate McTominay has been in touch with Hojlund.
The report adds that United could tempted by a €5 million loan deal with an obligation to buy for an additional €40m.