Atalanta enquire about Hellas Verona midfielder
The 29-year-old Icelander was key to the Mastini gaining promotion to Serie A last season, though he may find himself on the move before the transfer window ends.
According to Sky Sport Italia, the Orobici asked their league rivals if he would be available for transfer.
It is thought La Dea coach Stefano Colantuono is a keen admirer of the player.
Hallfredsson made 21 appearances in Serie B last season.