Clubs have shown interest in the striker, who Chelsea expect to join them for pre-season next week.
Serie A giants Juventus have held talks with Chelsea over the possibility of signing Romelu Lukaku.
Although Inter Milan hope that Lukaku will return to San Siro, they have yet to make a satisfactory offer to Chelsea for the Belgian international. It is thought that Inter may need to sell players in order to get enough money to buy Lukaku from the Blues.
It is not only Juventus that are interested in the 30-year-old former Everton striker, as Al Hilal of the Saudi Pro League have also expressed interest in the forward.
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Lukaku remains part of Chelsea since he agreed on a contract that runs to 2026 when he signed from Inter Milan in a £97.5 million deal in August 2021. He spent last season on loan with the Serie A outfit after he fell down the pecking order at Stamford Bridge.
Other reports indicate Lukaku is happy to remain in Italy, but it is not clear whether Inter can raise enough money to buy him permanently from Chelsea.
Things went from bad to worse for him, especially when, in an interview, he said he was not happy with former Chelsea coach Thomas Tuchel.
With uncertainty surrounding the striker's future, Mauricio Pochettino said he expects to have him during the pre-season next week.
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"He needs to come back July 12–13 to be part of the squad to start pre-season," Pochettino said.
"With all the players that arrive, the first thing they do is come to my office and say hello. That's what I expect if he's still a Chelsea player."