Vialli passed away just one month after quitting his job as the Italian national team's assistant coach to seek treatment for the illness.
The late striker led the English team to win the League Cup and the UEFA Cup Winners' Cup after taking over as player-manager when Ruud Gullit was fired in early 1998.
Vialli scored 40 goals in 88 appearances for the Blues between 1996 and 1999.
He then won three major trophies when he managed Chelsea.
Vialli won 59 caps for Italy and after he was initially given the all-clear on his health in 2020, he worked with Roberto Mancini’s staff in the Italian national team, who won the European Championships in England the following summer.
He stepped down from the role in December when he returned to the Royal Marsden hospital to undergo further treatment for cancer, which he called “an unwanted guest”.
Vialli is survived by his wife, Cathryne White Cooper, and their two daughters, Olivia and Sofia