The 29-year-old has been strongly linked with a move to the Turin giants over the summer, and now Goal.com believes the two sides are in talks over a deadline day move.
Alex has fallen behind Branislav Ivanovic and fellow countryman David Luiz in the pecking order at Stamford Bridge and looks likely to be on his way out of the club.
He was most recently rumoured to be involved in a swap deal for Juve’s Milos Krasic, and has also been linked with Arsenal.