The Sun is reporting that the Red Devils boss is keen for Lukaku to remain at Old Trafford this summer despite the speculation linking him with a move to Inter Milan.
The same article says that Manchester United manager Solskjaer has made a “last-ditch plea” to try and convince the Belgian striker to stay at the club.
It is claimed in the same story that Lukaku spoke with Solskjaer before the Red Devils squad flew to Australia for their pre-season tour.
And Solskjaer reportedly assured Lukaku that there will be plenty of first-team opportunities for him next season, despite Marcus Rashford having recently signed a new contract.
The same story says that Lukaku is a target for Inter Milan and the striker is prepared to move to the San Siro to play under Antonio Conte.
It is also claimed that Serie A sides Juventus and Napoli are also potentially interested in signing Lukaku this summer.
Lukaku scored 12 goals in 32 Premier League games for Manchester United last season as they finished sixth and without a trophy.
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