The 26-year-old impressed at last summer’s World Cup and has a ??26.8m release clause in his contract at the Stadio Artemio Franchi.
Reports suggest that the Premier League leaders had an initial ??20.6m offer rejected on Wednesday but that Cuadrado’s agent, Alessandro Lucci, will fly in to London with a view to brokering a deal.
Blues boss Jose Mourinho looks increasingly likely to offload two of his current wingers as he waits for improved offers for Mohamed Salah and Andre Schurrle from Roma and Wolfsburg respectively.