The Colombian joined the Blues for £26.1million from Fiorentina in February but made just fifteen appearances for the club as he struggled to adapt to the Premier League.
Manager Jose Mourinho sent the 27-year-old back to Serie A on a season-long loan with Juve.
And the winger has rediscovered the form which made him one of the most in-demand players in Europe.
He especially impressed on his return to England last week in the Champions League against Manchester City.
Juve are understood to have an option to buy Cuadrado permanently at the end of the season and the report hints the deal could be used to help talks in their bid to sign Paul Pogba.
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