Both men are regarded among Chelsea's greatest ever goalkeepers.
Cech stated: "The one thing that comes to my mind about Peter is that he was a legend as a player but he was a really true gentleman and an unbelievable personality.
"When I arrived at Chelsea, I had the honour to meet him for the first time and it felt like I'd known him for 10 years because he was just such a nice guy.
"He had the record for most clean sheets, second most games in the history of the club and he was a real legend but he stayed humble and a really nice person to be in company with.
"We hadn't seen him at the Bridge for some time because he was battling his illness but I remember one of the last times, he still stayed positive and he was in great form. He was really dedicated to football."