Scotland flanker John Hardie will leave Edinburgh at the end of the season, confirmed head coach Richard Cockerill earlier this month
The New Zealand-born returned from a three-month suspension for gross misconduct in January following allegations of cocaine use.
Hardie has been attracting the interest of Premiership clubs, with Newcastle Falcons and Worcester heading the queue with Bristol and Harlequins also mulling over a move for him.
The 29-year-old, who has won 16 test caps, is nevertheless reportedly keen to escape the prying eye of the Britsh media and wants to move to France.
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Lyon is a club on the hunt for new flankers, making this a potential destination for Hardie.
However, he is in rush to make a decision on his future and is likely to wait and see what comes his way in the next few months.