كتب : Omar AbdelAziz
The 30-year-old left in May when former manager Rafa Benitez was in charge, but new boss Roy Hodgson has re-signed him.
"I asked the club to find out whether Fabio had found a new club," Hodgson told Liverpool's site.
"When we ascertained that he hadn’t, we invited him back to (the training ground at) Melwood so both myself and my staff, and the medical team could properly assess the player.
"We were both very impressed and I am delighted we were able to re-sign Fabio."