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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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.