Meeting by chance in Italy while Materazzi was visiting former Inter boss Jose Mourinho, the ex-Perugia stopper says he made the first move.
“I reached out and I said ‘listen, I'm sorry this happened, it's over.’ He said ‘no, no, no problem, do not worry.’ We shook hands and that was it.
“Man to man is what is most beautiful, because to make peace for the sake of FIFA and before Sepp Blatter is just advertising.
“But making peace in the car park of a hotel, it was like two friends or two enemies meeting and shaking hands.”
Despite clearing the air with the French icon, Materazzi added that he now wants to discuss the matter with FIFA.
“FIFA called me but did not allow my lawyer to discuss what happened with the committee,” he explained.
“They just need to keep the reputation of Zidane and make me look like the bad guy,” he continued.
“As Blatter speaks Italian I know we can exchange a few words quietly. Sooner or later it will happen…”