The Colombian ace is a long-term Red Devils target and was heavily linked with a switch to Old Trafford following his impressive summer showings at the World Cup.
Barcelona were anther side in the hunt for the flying winger, but Fiorentina’s £40m valuation and a subsequent new contract have deterred interested parties.
Yet United could be back in the hunt in January, with Cuadrado understood to be ready to force his way away from Florence.
The 26-year-old is desperate to play Champions League football, and is not convinced that La Viola can match his level of ambition after a shaky start to the season which sees them currently sitting eighth in Serie A.
Although Fiorentina are keen to keep the speedster, his fresh deal is rumoured to have been a tool to maximise his market value, opening the door for a big money move in 2015.
Cuadrado has hit four goals in 17 outings this term and has been lauded for his quick feet and ability to play at right-back or right wing-back.