According to recent reports from the Spanish press cited by The Daily Star, Colombian international Cuadrado - who impressed alongside compatriot and Golden Boot winner James Rodriguez at the recent World Cup in Brazil and has subsequently been linked with all three of those European heavyweights - has requested that current employers Fiorentina consider Barcelona's offer for his services.
The same source goes on to claim that the 26-year-old has even told friends that he wants to make the switch to the Camp Nou, with Cuadrado obviously viewing Barcelona as an ideal club to continue his flourishing career.
Barcelona have been very active in the transfer market since new manager Luis Enrique replaced Gerardo 'Tata' Martino at the club in May.
It had initially looked as if Blaugrana would be prevented from making any additions at all during the current window, although a transfer ban initially handed down for a breach of rules related to the signing of international players under the age of 18 was suspended pending an appeal.
Goalkeepers Marc-Andre ter Stegen and Claudio Bravo, centre-backs Jeremy Mathieu and Thomas Vermaelen, playmaker Ivan Rakitic and superstar striker Luis Suarez have all joined Barcelona in recent months, with the likes of Bojan, Alexis Sanchez and Cesc Fabregas all heading through the exit door.
Cuadrado would be another extremely useful addition to Enrique's squad, although it remains to be see if the Catalan giants are able to match his €40 million price tag.
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Manchester United/Chelsea dismay
Manchester United would presumably be dismayed to miss out on a player of Cuadrado's caliber, particularly in light of the sheer wealth of positive media speculation that has surrounded their pursuit of the former Udinese man.
Given his ability to perform either in an advanced wide role or slightly withdrawn as a wing-back, Cuadrado would have been a perfect fit for Louis van Gaal's 5-3-2 system at Old Trafford.
While Manchester United's interest in Cuadrado appears to have been brewing for several weeks, Chelsea only appear to have figured as contenders for his signature in recent days.
With German midfielder Marko Marin having moved from Stamford Bridge to Fiorentina on loan this week, it was thought that Cuadrado would subsequently be allowed to leave Stadio Artemio Franchi.