The Belgian, who spent time at Chelsea earlier in his career, could be in line for a return to the Premier League this summer.
Lukaku is a key figure for Inter, who won Serie A under the guidance of coach Antonio Conte last term.
But their financial issues mean a mega offer would convince them to sell. A bid of £100million plus Marcus Alonso was turned down.
The likes of Kurt Zouma, Ross Barkley, and Danny Drinkwater are all on the chopping block at the Stamford Bridge club.
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