They accidentally met at a Milan hotel when Inter Milan defender Materazzi was going to meet former boss Jose Mourinho, who was in the city for Real Madrid's Champions League game with AC Milan.
Rumours have since persisted that Zidane, a Real adviser, bumped into Materazzi and the former Italy international has now confirmed the speculation.
"What was said stays between us. Let's say I did most of the talking and when at the end he held out his hand, I shook it firmly until he looked me properly in the eye," Materazzi told Mediaset television.
"It's what I wanted. For me it was great, I don't know about him."
"He received a slap and a boot in the face," Materazzi said of the Manchester City striker.
"But when he had an operation and he was in hospital, I was there at midnight keeping him company and getting him snacks from the machine."
