The Colombian winger moved to Stamford Bridge early last year for £23.3 million but failed to make an impact in west London and was subsequently loaned out to Juve.
He has been a solid performer under manager Massimiliano Allegri and the Serie A giants now want to sign him permanently, but they are only prepared to offer between €14 and 15 million (£11 to 11.8 million), not the €20 million (£15.7 million) fee that was included in the original loan deal, per Italian outlet Calciomercato.
The report indicates that Juventus could have the upper hand in any negotiations, as Cuadrado himself wants to stay at the club and is not eager to return to Stamford Bridge.
He endured a fairly miserable time at Chelsea, as he played only 26 minutes of Premier League football. However, in 18 Serie A appearances, he has scored three times and provided four assists this term, per WhoScored.com.
He was never more influential than he was in Juve's 2-0 away defeat of Frosinone on Sunday, for which he was awarded man of the match. Allegri's side won a 14th league game on the bounce, per WhoScored.com:
.@Cuadrado: MotM vs Frosinone, Rating 9.64, Shots(OT) 4(2), Goals 1, Key passes 1, Dribbles 8 @juventusfc https://t.co/CN6aRdRLWK2016-2-7 16:09:35
Cuadrado is undoubtedly a talented player, and his directness can be a useful asset, especially against sides that defend deep.
It is unsurprising then that Juve want to sign him up for the long term, but they need to be careful in playing hardball with Chelsea.
The managerial situation at Stamford Bridge is very fluid, and whoever comes in as Guus Hiddink's successor in the summer may decide that Cuadrado, 27, is an ideal fit for the Blues.
Per Dean Jones of Bleacher Report, the lack of a long-term boss seemed to lead to muddled transfer dealings from Chelsea in January, an issue that should be resolved at the end of the season:
However, if Juve cough up the originally mandated €20 million (£15.7 million) fee, then they should be able to secure Cuadrado as a permanent signing.
Elsewhere, Chelsea have potentially been given a boost in their reported pursuit of West Ham United's Dimitri Payet.
And the Hammers have reportedly been left "stunned" by Payet's agent's demands that his client receive a new £125,000-a-week deal just eight months after joining West Ham, per Darren Lewis in the Mirror.
Far from the news driving a wedge between player and club, though, West Ham have put out a statement denying the claims, while Payet, 28, has committed his future to the east London outfit:
Dimitri Payet @dimpayet17
I say & I repeat I'm proud to wear the shirt of west ham My future is here and I hope for many years https://t.co/wgPZMQl9SN @whufc_official2016-2-9 10:40:11
While the inventive attacking midfielder would undoubtedly add some necessary verve to the Blues attack, it does not seem likely that they will be able to snap him up any time soon.