Liverpool have turned down Arsenal's latest bid for Luis Suarez.
The offer of £40million - plus a pound - was immediately refused by the Anfield club, Press Association Sport understands.
Uruguay international Suarez was set to make his first appearance for the Reds this summer in the friendly against Melbourne Victory on Wednesday.
While he was away the 26-year-old spoke about the attraction of Real Madrid, and his agent Pere Guardiola has told Liverpool the player wants to play in the Champions League but will not try to force through a move.
Suarez has been frequently linked with Arsenal, whose biggest spend on a player is the £15million they paid to Zenit St Petersburg for Andrey Arshavin in 2009. By exceeding the £40million mark, Arsenal's offer means Liverpool have to inform Suarez of the offer but it does not trigger a buy-out clause.
The Reds had previously turned down a £30million bid from Arsenal, and manager Brendan Rodgers has said he "very much" expects the star man to be with the club come the start of the season.
Rodgers said on Monday: "There's been a lot of speculation over the course of the close season but the reality is that he's a player who is very much valued at Liverpool.
"And unless there's any sort of offer that comes in that's anywhere near his value, there's nothing to consider. We haven't had that."
Asked what that value was, Rodgers said: "I didn't say we would sell him. I said that every player has a value and a worth. Doesn't mean you've got to sell them."
Rodgers and managing director Ian Ayre plan to hold talks with Suarez after Wednesday's game as they attempt to persuade the 26-year-old to remain at the club.
Suarez will not be allowed to leave the tour early, with another friendly scheduled in Bangkok later this week.