United have been one of the busier clubs in the transfer window this summer with a multitude of problems set to be sorted.
After finishing sixth last season, Solskjaer is desperate to take the Red Devils back to the good old days and challenge for trophies.
The Norwegian is targeting young, British talents in the market – already apparent in the signings of Daniel James and Aaron Wan-Bissaka.
And he has already outlined how he wants his side to attack – with ferocious pace in the form of Marcus Rashford, Anthony Martial and Mason Greenwood.
That leaves Lukaku on the sidelines, who has been posted as the main man after Rashford was given a £300,000-a-week contract.
Inter Milan have emerged as strong contenders for the Belgian striker, who has already expressed a wish to leave.
Antonio Conte sees him as the ideal man to front his new-look Inter side after taking the helm over this summer.
But United have slapped a massive price-tag on Lukaku’s head, wanting a fee in excess of £80m.
The San Siro outfit have held discussions with Old Trafford officials, flying in to London last week to open proceedings.
But Inter are trying to negotiate a two-year loan with an obligation to buy while United want a permanent transfer with a lump sum in cash.
As the deal continues to stall, Lukaku’s relationship with Solskjaer is growing more and more frosty, according to Corriere dello Sport.
Under Jose Mourinho, the former Everton striker was The Special One’s top forward but he has been marginalised in recent months.
Even in pre-season, Solskjaer has opted to not utilise the striker – with a mysterious injury ruling him out for the past two friendlies against Perth Glory and Leeds.
United would be reluctant to see Lukaku go for less than the fee they are demanding after splashing £75m out on him two years ago.
They also want to avoid looking for a replacement with just over three weeks to go before the transfer window shuts.
There have been murmurs that Sevilla striker Wissam Ben Yedder could come in as Rashford’s back-up.