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The ex-Spain international also believes Southgate should play with two holding midfielders at Euro 2020 in order to find room for the attacking talents of Phil Foden, Jack Grealish and Mount.
Fabregas was a pundit on the BBC's coverage of Turkey versus Italy on Friday night and believes England's best chances of success this summer lie in a 4-2-3-1 formation with three Chelsea players - and former Blues academy starlet Declan Rice - all in from the off.
Fabregas goes for Dean Henderson in goal, with James getting the nod at right-back.
John Stones partners Harry Maguire in the centre of defence with Chilwell in ahead of Luke Shaw at left-back.
Jordan Henderson slots in alongside Rice at the base of the midfield, with Foden, Grealish and Mount tucking in behind captain Harry Kane.
The means no place for the likes of Jordan Pickford, Kyle Walker, Marcus Rashford, Raheem Sterling or Jadon Sancho, but it's a line-up that has gone down well on Twitter.
Fabregas said: "If everyone is 100% fit, I would go for that. There's experience, there's youth, there's a good mix there. People who work hard, passion.
"Top, top player in Harry Kane. A lot of creativity in midfield, especially the three No.10s. Full-backs that have just won the Champions League and full of confidence."
England begin their Euro 2020 campaign against Croatia on Sunday.
Meanwhile, Fabregas has revealed that the arrival of Italy international Jorginho at Stamford Bridge was a major factor in his departure from Chelsea in January 2019.
"One of the biggest reasons I left Chelsea is because of him," said former Arsenal ace Fabregas, who now plays for Monaco.
"He's a very smart player, intelligent, a very good passer of the ball. The only thing I can say about him sometimes is he releases the ball too quickly when he can play forward.
"He makes the team tick. At Chelsea, he has N'Golo Kante protecting him all the time, and I know that's a big thing, I don't know here how he will cope at a big, big game at the Euros.
"He's a really good player and tactically, he knows what to do because of the coach's methodology, it helps him a lot."
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