The Colombian star is said to be wanted by a host of big sides, including Juventus, Arsenal, Manchester United, Barcelona and Bayern Munich.
But Cuadrado is owned by Fiorentina and Udinese, who each own 50 percent of the player, and the two clubs have so far failed to agree which will take full control of his rights.
Fiorentina are still expected to convince Udinese to let go of Cuadrado, possibly for around £8m, and they will then be able to listen to lucrative offers.
Cuadrado is valued at around £25m, which could rule out most of his suitors, but Juventus seem to be taking a lateral approach as they can't afford that sum.
The paper suggests that Juventus could offer some money plus a half share of striker Domenico Berardi, who has scored a magnificent 16 goals for minnows Sassuolo this season and has won comparisons to Alessandro Del Piero.
Juventus could also give Fiorentina the choice of two other up-and-coming strikers in 22-year-old Simone Zaza and Manolo Gabbiadini, who has impressed at Sampdoria but is co-owned by the Old Lady.
Cuadrado's situation is complicated and Juventus could theoretically approach Fiorentina or Udinese to try and buy 50 percent of the player and set up another co-ownership agreement.
However, Barcelona are reportedly ready to blow away any confusion with a bumper offer of around £25m to take full possession of Cuadrado.