The details of the deal were not released, although media reports say the transfer fee was approximately four or five million euros (3.21 or 4.01 million pounds) ($6.80 million) and the player signed a four-year contract.
Alessandrini has scored 20 goals from 59 matches in all competitions with Rennes over the past two seasons.
He was called up to the France squad last year but has yet to win a cap.
(Reporting by Julien Pretot; Editing by Stephen Wood)
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