The Holland international left Bologna last year for United, but has struggled for consistent football since being at Old Trafford.
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Corriere di Como is reporting Cesc Fabregas' Como are now considering a move for Zirkzee in January.
The centre-forward has seen limited action this season after United brought in attacking rivals Benjamin Sesko, Matheus Cunha and Bryan Mbeumo over the summer.
A loan to buy arrangement has been mooted for Como, where there is a belief Cesc's style of play will suit Zirkzee.