Tottenham Hotspur have had a €22 million (£19.4 million) offer for AC Milan attacker Suso rejected, according to Italian source Calcio Mercato.
However, the report suggests that Spurs could still land the Spanish winger with an increased bid of around €25m (£22.1m) this summer.
Tottenham are yet to add any new recruits to their squad over the off-season, with Mauricio Pochettino’s men looking to build on last term’s second-placed Premier League finish.
The name most-commonly linked with a switch to the North London side is Everton’s Ross Barkley, but negotiations over a deal are believed to have stalled.
Pochettino spoke 12 months ago about his desire to add pace and penetration to his attacking options and duly splashed the cash on Moussa Sissoko and Georges-Kevin N’Koudou.
However, with the French duo struggling to make an impact at Tottenham, the ambitious club are expected to bolster their attacking midfield options before the close of the current transfer window.
Suso has Premier League experience having made 14 appearances for Liverpool after coming through the ranks at Anfield.
With regular first-team football not forthcoming on Merseyside, the 23-year-old moved to Milan in 2014 and was a regular in the Rossoneri starting XI last season.
Suso started 33 Serie A games in 2016-17, scoring seven goals in the process, and he has recently stated that he is happy at the San Siro outfit.
However, Milan have undergone a dramatic strengthening of their squad this summer, with the club’s new Chinese owners bankrolling the signatures of a host of new players.
Tottenham have the likes of Erik Lamela, Son Heung-min, Dele Alli and Christian Erisken in attacking areas, but Suso’s addition would add much-needed strength in depth.
The Spaniard’s ability is undoubted and having an extra left-footed player with more of a focus on the flanks would be a worthy addition to Pochettino’s ranks.