Lukaku will not sign a new contract though Everton are still looking to convince him of their own ambitions by recruiting aggressively this summer to build a squad capable of competing at the top of the Premier League and in Europe.
If clubs are unwilling to match Everton's asking price Lukaku will have little option to keep on playing, aware that a severe dip in his performances could hinder his World Cup place next summer.
Manchester United and Chelsea are among the frontrunners for Lukaku who has scored 24 goals this season but they will both think twice at paying such a fee. Kane said when asked if he had been watching Lukaku's progress.
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Lukaku joined Chelsea as an 18-year-old from Anderlecht and made 10 appearances for the Blues in three seasons, which included two loan spells at West Bromwich Albion and Everton. It all adds up to being yet another long, drawn-out summer transfer battle. The Belgian can play upfront on his own, is proven in the Premier League and still has his best years ahead of him at just 23 years of age.
Everton now sit seventh with 57 points from 33 matches, while Lukaku tops the Premier League goalscoring charts with 24 goals. His electric form for the Toffees appears to be turning heads at Stamford Bridge. Lukaku would be an ideal potential signing for either club.
Chelsea have been strongly linked with bringing the Belgian global back to Stamford Bridge, as Diego Costa looks set to leave West London.