FIGC president Gabriele Gravina is demanding punishment for AC Milan pair Tiemoue Bakayoko and Franck Kessie over their shirt controversy.
The pair presented Lazio defender Francesco Acerbi's shirt to the home fans after victory on Saturday.
“What happened at San Siro was disrespectful and, as undersecretary for sport Giorgetti noted, undignified," Federation president Gravina told GR Parlamento radio.
“It must be punished, condemned and evaluated for violation of the ethical norms and principles of our sport. Acerbi is an extraordinary man. There was some sniping on social media, and as Gennaro Gattuso said, players ought to use that less and spend more time focusing on their training.
“By handing his shirt over to the Milan players and shaking their hands, he proved he wanted to close any controversy. Exhibiting the same shirt almost like a scalp in front of the crowd was an ugly reaction that we ought to prevent happening again."