A teary-eyed Buffon announced his global retirement after the 0-0 draw at the San Siro, with 175 worldwide caps to his name.
Italian newspaper La Gazzetta dello Sport hailed the failure as the arrival of the "apocalypse".
A number of renowned national teams with dozens of star players failed to qualify for the World Cup. It will nearly certainly signal the end for their incompetent Coach Gian Piero Ventura after he was largely responsible for the failure of a nation that had so much talent which he refused to use.
The 39-year-old goalkeeper, who lifted the 2006 World Cup in Germany, who had been hoping to compete in a record sixth World Cup.
He said in a post-match press conference he arrived for well over an hour after full-time: "At this moment I can only apologise to the Italians, not for the will or effort but for the result which as I know is the main thing".
President Giovanni Malagò said that he would resign if he were Tavecchio.
A tearful Buffon, who had already chose to hang up his gloves after Russian Federation 2018, said in quotes reported by www.figc.it: "I'm not sorry for myself but all of the Italian football movement".
I wanted to meet you in #Russia at my first World Cup, maybe in the final.
The retirement of defenders Giorgio Chiellini and Andrea Barzagli also meant that the legendary BBC defence was left with just Leonardo Bonucci as its only remaining member, a true end of an era for Italian football.
"But I think it's sad for Italy, because for such a big tournament [it's a pity]. I saw the game, they defended well and gave everything", Loew added.
Bergomi said: "No one has been attacking the players and I hate saying this but what really happened here?"
"It would be wrong to put all the pressure on the coach, all football in Italy needs to be regenerated and we need solutions to improve it".