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Arsenal are expecting to face a battle to keep hold of the wing-back when the transfer window reopens in January.
Bellerin has started every Premier League game for Arsene Wenger’s side this season.
But Italian publication TuttoMercatoWeb are suggesting that Juventus have made contact with the Spaniard’s representatives.
The Serie A side lost Brazilian full-back Dani Alves to Paris Saint-Germain in the summer.
And they are keen on replacing him at the next possible opportunity.
Bellerin has made over 100 career appearances for the Gunners, despite being only 22 years old.
He has also chipped in with five goals, including one against Cologne in the Europa League this campaign.
But his head could be turned by Juventus, who are trying to win Serie A for the seventh year in a row.
They currently trail league-leaders Napoli by one point.