Totti retired from playing football two years ago to take up a director role at Roma.
But he ended his 30-year stay with the Serie A side earlier this month after claiming he had been "stabbed in the back" by club chiefs.
And now he could be offered the chance for one final swansong by Leeds' Italian chairman Andrea Radrizzani.
Former Italy international Marco Borriello, who reportedly spent time with Totti this summer, was quoted by TMW saying: "I know that a great leader of an English team has made him a proposal to go back to playing football.
“Radrizzani of Leeds? I don't know."