Inter sporting director Piero Ausilio was in London yesterday to meet United officials but was left in no doubt that their current proposal would not be good enough as they struggle to meet the Premier League club's valuation.
The 26-year-old is said to be new Nerazzurri boss Antonio Conte's preferred choice for his main striker, and Inter sporting director Piero Ausilio has confirmed that the clubs are in talks over the Belgium global.
The Frenchman is on tour with United in Australia but his agent Mino Raiola says Pogba wants to leave the club and he is working on a move.
Lukaku - contracted to the Red Devils until 2022 with the option of a further year - joined United from Everton for £75 million ($94 million) in 2017 and the Premier League giants want to recoup that fee as Inter push for an initial loan deal.
"We'll see what happens".
At Old Trafford, though, he fell down the pecking order as Solskjaer preferred Marcus Rashford up front as he scored 12 goals last campaign. All the players we're following are targets we've agreed with Antonio Conte.
What's more is that he is backed up by the likes of Anthony Martial, Alexis Sanchez and Mason Greenwood - so even if Lukaku does end up leaving this summer, United would still have more than enough depth at centre-forward going into next season.
The club have already made two signings ahead of the new season, with winger Daniel James joining from Swansea while full-back Aaron Wan-Bissaka moved to Old Trafford after shining with Crystal Palace.
"We had a meeting on the first day in which the manager and the staff spoke about what they expect from us, what they expect from Manchester United players and I think that is the right thing to do", said Mata.