United are said to be holding out for £75million - the exact sum the paid Everton to sign him in 2016.
Since then, the Belgian has scored 42 goals in 96 games in all competitions.
He was deemed surplus to requirements although recent reports suggest manager Ole Gunnar Solskjaer has changed his mind and now wants to keep him.
Despite that, Lukaku, 26, is firmly behind Marcus Rashford in the pecking order and is keen to move to Italy.
Inter Milan remain hopeful of signing Romelu Lukaku from Manchester United (Image: GETTY)
Juventus are also said to be interested, although they are expected to sign Mauro Icardi from Inter.
That could be key to Inter’s bid for Lukaku as they look to raise money to fund the deal.
Conte tried to sign him as Chelsea manager before he joined United but failed in his attempt and ended up with Alvaro Morata instead.
He looks determined to get his man at the second time of asking and Luakaku is reportedly desperate to work with the Italian.
United are said to be holding out for £75million for Lukkau (Image: GETTY)
Invalid email
We use your sign-up to provide content in ways you've consented to and to improve our understanding of you. This may include adverts from us and 3rd parties based on our understanding. You can unsubscribe at any time. Read our Privacy Policy
Inter boss Antonio Conte tried to sign Lukaku when he was at Chelsea (Image: GETTY)
Lukaku is currently in Australia with the rest of the squad on United’s pre-season tour.
He was absent from an open training session in Perth on Thursday but the club claimed he was in the gym as he was ‘carrying a little problem.’
Everton will be due a £5m sell-on fee if he does move.