The Bianconeri are believed to be scouting a long-term replacement at right-back for Stephan Lichtsteiner.
The Switzerland international has not been offered a new deal despite his contract running out at the end of the season.
Meanwhile, Bellerin has cemented a first-team spot in the Gunners backline after coming through the ranks at the Emirates Stadium, with 133 appearances for the senior team so far.
According to Italian outlet Tuttosport, Juve are keen on bringing the Spain international to Turin in a big-money deal.
Bellerin joined Arsenal in the summer of 2011 from Barcelona's academy.