At a time when Tuchel has tried various alternatives in the wing-back role, the Blues have also attempted, without success, to recall Emerson Palmieri from his loan period at Lyon.
According to TyC Sports, the European champions are yet to dismiss the possibility of signing Tagliafico before the end of the month.
While the report says that Chelsea are yet to make a formal bid, the Argentina international is a realistic option with less than 18 months remaining on his contract.
Ajax are said to be ready to entertain bids in the region of £6m with the 29-year-old no longer first choice at the Dutch giants. body check tags ::