The Roma midfielder has previously pledged his loyalty to the Italian side, but RMC report that the two teams are in talks about a move.
De Rossi could replace Momo Sissoko, set to leave Paris to join Fiorentina.
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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.