According to Don Balon, Enrique has told Chelsea they need to sign Umtiti if they are to recruit him.
And that has received a positive reception, with club chiefs 'willing to do everything' to get the centre-back on-board.
Enrique apparently sees Umtiti as the perfect replacement for David Luiz, who will be sold after a show of indiscipline under Conte.
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Samuel Umtiti joined Barcelona from Lyon after being included in France's squad for Euro 2016
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Luis Enrique has told Chelsea to raid Barcelona for Samuel Umtiti, claim Don Balon
Don Balon reckon Umtiti has made Barcelona team-mate and neighbour Gerard Pique aware of Chelsea’s interest in him.
And Pique’s face is said to have changed when he heard the news, suggesting Umtiti hinted he’d be up for the prospective switch.
Umtiti has supposedly informed Pique that an offer to join Jose Mourinho at Manchester United is not to his liking though.