But head coach Steve McClaren, who has already been backed in the transfer market by owner Mike Ashley to the tune of almost £40m, is still hoping to sign the Uruguay star, 22.
An increased offer could prove successful, with the French club committed to finding a replacement.
Newcastle have so far refused to go above £8m for QPR's Charlie Austin and were told that only a bid in the region of £20m would be successful for West Brom's Saido Berahino.
McClaren is also looking at Barnsley right-back Mason Holgate, amid interest from Everton and Aston Villa.
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