Tottenham are continuing talks with Bologna for Takehiro Tomiyasu.
Sky Sports says Tottenham have had an offer rejected by Bologna for Tomiyasu.
Spurs offered £12.9m (€15m) plus an extra £2.6m (€3m) in add-ons in a bid with a total value of £15.5m (€18m).
However, the offer is close to the Serie A club's valuation of at least £17.2m (€20m), and talks remain ongoing over a deal for the defender.
Tottenham's new managing director of football Fabio Paritici had opened talks with Bologna for Tomiyasu, who is highly-rated in Italy.