The France international is available from Chelsea after not being registered for the Premier League nor Champions League this season.
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Lyon are exploring bringing the former Monaco defender back to Ligue Une ahead of the January market.
However, OL won't get a clear run at Disasi, says the Mirror, with West Ham and Newcastle United interested.
After being frozen out for much of the season, Disasi is now turning out for the U21 team at Chelsea and also training with the senior squad in an effort to improve his fitness ahead of a sale next month.