The Fiorentina star was billed as one to watch before this summer's tournament in Brazil and he didn't disappoint, laying on four goals for his team-mates - more than any other player - to help Colombia reach the quarter-finals where they were knocked out by Brazil.
His efforts in Brazil certainly attracted the interest of some of the biggest clubs in Europe, including Barcelona. Amidst the speculation Fiorentina moved to buy up the remainder of his economic rights from Udinese, and having paid out in total around €22 million for him will be looking to make a sizeable profit.
Fiorentina coach Vinzenzo Montella admitted earlier this month that he could be sold, but only at the right price.
He said of Cuadrado: “We need to evaluate the player’s aspirations and, above all, if there is a club out there that can pay what he is truly worth."
Now reports in Spain say that Barcelona are about to firm up their interest in the 26-year-old, but their attempts to sign him have been complicated by a bid of €42 million (£35m) from Manchester United.
Spanish newspaper El Mundo Deportivo add that Montella has requested that Fiorentina's response to the bid from Old Trafford be made known by tomorrow, so he can finalise his plans for the new season knowing whether Cuadrado will be staying or going.
Manchester United transfer plans
Manchester United have already spent big this summer on Luke Shaw and Ander Herrera, but there should be plenty more new faces around Old Trafford by the end of the transfer window. Arturo Vidal remains a key target, as does Mats Hummels, although Borussia Dortmund appear unwilling to sell.
More recently, new boss Louis van Gaal is said to be focussing his attention on deals for Daley Blind and Thomas Vermaelen.
The Dutch boss got off to the perfect start in his first game in charge of Manchester United, overseeing a 7-0 victory against LA Galaxy last night.