The Spain international must now agree personal terms and pass a
medical to complete the transfer.
The 24-year-old would be the Premier League champions' fourth
signing of the summer, after goalkeeper Willy Caballero, defender Antonio
Rudiger and midfielder Tiemoue Bakayoko.
Morata scored 20 goals last season after rejoining Real from
Juventus.
He won La Liga and the Champions League, but the majority of his
appearances were as a substitute.
Morata could replace Spain team-mate Diego Costa, who says he
has been told by manager Antonio Conte that he is no longer in Chelsea's
plans.
Manchester United had been interested in Morata prior to signing
Everton striker Romelu Lukaku for an initial £75m.
Morata joined Real Madrid's youth team in 2008 and was handed
his senior debut aged 18 in 2010.
The 6ft 3in striker moved to Italy in 2014, scoring 27 goals in
two years for Juventus, winning both Serie A and the Coppa Italia twice and
playing in the 2015 Champions League final.
Real exercised a buy-back option in June 2016 to take him back
to the Bernabeu.
Morata has won 20 caps for Spain, scoring nine goals, since his
international debut in 2014.
Analysis
European football journalist
Mina Rzouki on BBC Radio 5 live
If you offered me the choice between Morata and Lukaku, I
wouldn't even think about it.
I would pay £20m or £30m more if I had to and I would bring in
Morata.
That is because I would always prefer an intelligent player in
my team. Even if he doesn't score as many goals, even if he doesn't do whatever
he needs to.
If he is more intelligent then he can be moulded quicker, he can
do what he needs to do. And Morata has Champions League experience. He was
second top scorer for Real Madrid despite not starting.
He has done it at Juventus and he has done it at Real Madrid.
He understands, he has the pace, he is intelligent, he links up
play, he can be a counter-attacking threat.
The stats
- Morata's
conversion rate last season was 27%, the highest of any striker to score
10 or more goals in La Liga in 2016-17; he scored 15 goals from 55 shots.
- Morata's
goals won Real Madrid 13 points in La Liga last season; only Cristiano
Ronaldo won more for the side with 15.
Transfer records
Top six world record transfers
£89m - Paul Pogba - Juventus to Manchester United, 2016
£86m - Gareth Bale - Tottenham to Real Madrid, 2013
£80m - Cristiano Ronaldo - Manchester United to Real Madrid,
2009
£75.3m - Gonzalo Higuain - Napoli to Juventus, 2016
£75m - Luis Suarez - Liverpool to Barcelona, 2014; Romelu Lukaku
- Everton to Manchester United, 2017
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