The newly promoted Ligue 1 club have already signed Joao Moutinho and James Rodriguez, with Radamel Falcao set to follow.
Carvalho was allowed to leave Real Madrid, whom he has been with since playing for Chelsea.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?