Everton manager David Moyes has urged Wayne Rooney to take up the club's offer of a new five-year contract. The pressure on Moyes to hold on to his star striker has been increased by Tomasz Radzinski's decision to turn down a three-year deal.
"We've not made Wayne the player he is - he and his family have. But we have given him opportunities," said Moyes.
"I hope we will get repaid for that with the chance to keep him on for a couple more years at least."
Moyes added: "He's got two years to go on his contract - we'd like to make it five years.
"Hopefully Wayne and his advisers feel this is the right place for his continued development.
"Wayne's a great young player and one day he might be one of the best in the world.
"Everton is one of the biggest clubs in the land, isn't it?
"There's only three or four clubs in the country who could even consider themselves bigger." Rooney has been linked with a move away from Everton after his scintillating displays for England at Euro 2004, with Manchester United and Real Madrid both believed to be interested in the 18-year-old.
Leading agent Jon Smith told the BBC that he expected Everton's efforts to hold onto their star man to be in vain.
"I'd be very surprised if Everton end up keeping him," Smith told BBC Five Live.
"I think they've done a very good job trying."
Smith suggested that Everton - about �30m in debt - were in no position to turn down a potentially huge bid for Rooney.
"Maybe if two or three other players become part of that transaction I think it would serve them well," he added.
Rooney, meanwhile, has had the plaster cast removed from his injured foot.
He broke a bone during England's Euro 2004 quarter-final defeat by Portugal.
Everton's head physio Mick Rathbone told the club's website: "So far, so good. The plaster has come off and he's in a light walking boot.
"He has a bit of a break now and we will re-assess the situation in two weeks."