Ancelotti worked with the Brazilian at AC Milan and is open to the idea of signing him fromReal Madrid - who are now led by former Stamford Bridge manager Jose Mourinho.
Meanwhile, Chelsea's latest signing Yossi Benayoun has singled out Rafael Benitez as the reason he left Liverpool for Stamford Bridge, accusing the Spaniard of trying to break him and treating him with a lack of respect.
Benayoun, who joined Chelsea for an undisclosed fee on July 2, blames Benitez - who has also left the club for Inter Milan - for his decision to leave Anfield.
He told the News of The World: "I made up my mind to leave a long time ago because of Benitez. He never treated me with the respect I deserved. If I played well, I never felt he gave me credit.
"When I scored, I still expected to be out of the team the next game. And when the fans wanted me to play, Benitez told me he couldn't understand why."
The 30-year-old continued: "There are many examples of him treating me badly. Last season, against Fulham and Lyon, the fans booed when I was subbed. They thought I was playing well but Benitez told me he was surprised they booed because I was not good enough.
"It was as if the fans' reaction worked against me. The situation got worse afterwards. He told me I was a better player as a substitute instead of starting in the team.
"I felt so unhappy but, out of respect to the club, I never spoke out. The players and the people at the top of the club knew how I felt.
"It is good for Liverpool he has gone, but it was too late for me."