The England left-back is available from Chelsea and spent the second-half of last season on-loan with Crystal Palace.
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Chilwell hasn't been able to find a new club, though the Strasbourg option has now opened up.
Chelsea and Strasbourg are owned by BlueCo, with the French club having three Blues players on loan in Kendry Paez, Mamadou Sarr and Mike Penders.
Now Chilwell could be on the move to the Ligue 1 club, though Roma and Torino are also keen, says the Telegraph.
