Juventus drew a blank against a resolute Sevilla side in Turin on Wednesday.
The offer was reportedly made shortly after the two sides met in the Champions League.
The Blues may make a move for the Brazilian as he only has a year left on his current deal.
Speculation today suggested that Manchester United were set to sign Luke Shaw from under Chelsea's nose - who could they target instead?
Manchester United and Chelsea look to be scouring alternatives to Southampton's Luke Shaw, as both clubs go head-to-head for FC Porto's Alex Sandro.
The Manchester United manager missed out on his former star pupil in the summer but is now considering his options in a problem position.
A select round-up of morning news relating to Manchester United…
News, views and rumours relating to Manchester United in the past 24 hours.
Manchester United have been linked with signing Sandro from Porto.