According to the latest reports from Italy, the Rossoneri consider the Real Madrid striker a ideal target for the summer, even though he has some history playing for their arch rivals Juventus.
Manchester United striker Marcus Rashford is backing a bid for Real Madrid's Alvaro Morata, even though they would be competing for places.
However, the Telegraph claim Mourinho has now made Morata is prime target as the Spaniard is seen as a much cheaper alternative to the likes of Romelu Lukaku or Andrea Belotti - who are both valued at well over £80m.
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It is said that Morata wants a reunion at Stamford Bridge - despite the fact United manager Jose Mourinho gave him his Real debut.
Morata spent two years in Italy playing for Juventus, before being brought back to Madrid last summer for a fee of £24m.
The Red Devils won't offer Zlatan Ibrahimovic a new deal and they are now considering signing a top class striker. Despite his limited game time, he has ended the season as Real Madrid's second highest scorer, netting 20 goals for Los Blancos. "You are a great journalist, but I must stay silent and say nothing more", Alfonso Morata responded.
Moreover, he only started 14 times in the League.