Chelsea's contact with Morata had recently gone quiet due to their interest in the Belgian forward, although Conte is believed to still rate him highly.
Chelsea would have had to change their style completely if they did sign Manchester United-bound Romelu Lukaku, according to Danny Higginbotham.
The Belgium worldwide has been pursued quietly for months and is said to have been the club's main target, with Chelsea's interest helping to cover that up.
With Manchester United set to complete the £75m signing of Lukaku, he will soon be teammates with one of his best friends.
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"Real Madrid's Alvaro Morata is more of a like-for-like replacement for Costa and would suit Chelsea's style much more than Lukaku".
The 24-year-old striker scored 25 goals in the Premier League last season.
Chelsea, who were linked to Morata earlier in the year, could now be the man they look at - and are priced at 9/4 to land him. "United do not want to be held to ransom because every club knows United are the richest club in the world so they're asking top dollar". While the deal is around £75 million, there are other elements to the deal as well.
News of Chelsea's bid came after Phil Neville jumped the gun by posting a picture of Lukaku wearing a Manchester United shirt.
Yet we have been informed that United's offer for Lukaku is still some way short of Everton's valuation, with the initial offer not containing enough guaranteed money to satisfy Goodison Park chiefs. And it looks like the club are ready to back their manager in the transfer market.