With this win Italy have extended their unbeaten run to 29 games, the last 10 coming off wins where they have scored 31 goals and conceded none.
A round-up of Saturday's action in the Nations League.
Italy set up a Euro 2020 semi-final with Spain after first half goals from Nicolo Barella and Lorenzo Insigne led the Azzurri to a 2-1 victory over Belgium on Friday in an entertaining encounter in which both sides created a number of chances.
Manager Claudio Ranieri has signed a new contract with Leicester City that would keep him at the club until June 2020, the Premier League champions announced on Wednesday. Appointed in July, 2015, the 64-year-old Italian helped the club defy pre-season odds of 5000/1 to win the league, the first top-flight title in Leicester's 132-year history.
Bravo stopped Portugal's first three spot kicks from Ricardo Quaresma, Joao Moutinho and Nani while Chile converted their first three to win the clash of South American and European champions.
Claudio Ranieri was named the League Managers' Association (LMA) manager of the year on Monday after leading 5,000-1 outsiders LeicesterCity to an improbable Premier League title.
Bayern Munich eased past title rivals Borussia Dortmund 3-1 on Saturday to secure their 10th consecutive Bundesliga crown in front of a sold-out home crowd and with three games to spare, while Paris St Germain secured a record-equalling 10th French top flight title after stuttering to a 1-1 home draw by 10-man RC Lens.
Romelu Lukaku scored for Chelsea in a 5-1 FA Cup third-round victory
A sloppy Real Madrid were held 0-0 at home to Real Betis on Saturday in a further blow to their hopes of retaining the La Liga title.
Leicester City manager Craig Shakespeare has said that he never had any arguments with predecessor Claudio Ranieri and there was no ill feeling between the pair prior to the Italian's sacking.
Federico Valverde finished off a stunning move in extra time to give Real Madrid a 3-2 victory over arch-rivals Barcelona
Leicester City coach Claudio Ranieri said on Tuesday that he believed at Christmas his team would win the Premier League, even as he continued to tell the media his only goal was avoiding relegation. "Now I can say it, I always knew we'd win," Ranieri told Italian daily Il Fatto Quotidiano the day after Leicester's triumph. He said he had always denied any championship ambitions until almost the end of the season because "that's the way I am made, I have always preferred doing things rather than talking about them". Asked to pinpoint when he really became convinced Leicester could win, he said: "It was at Christmas. Relegation had been avoided and we gathered together to talk in the changing rooms and we said to each other, 'Let's go for it, we've got nothing to lose'." Ranieri played down his own role in the achievement, saying that teamwork was key to the club's success and his players had no shortage of ability.
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'If this (victory) remains a beautiful memory in a dark moment or if instead it becomes a symbol of rebirth depends only on us.'
Italy beat England 3-2 on penalties after the Euro 2020 final ended 1-1 following extra time at Wembley
Talismanic goalkeeper Gianluigi Buffon bid a tearful farewell to Juventus after 17 seasons at the club when he played his last match for them in a 2-1 win over relegated Verona on Saturday.
A delighted Joseph Guardiola praised his team's first-half performance and jumped to the defence of Manchester City's new goalkeeper Claudio Bravo.
Premier League champions Leicester City beat Everton 3-1 at the King Power Stadium on Saturday as a Jamie Vardy double completed a perfect coronation for Claudio Ranieri's miracle men.
Barcelona goalkeeper Claudio Bravo injured his calf in their 2-0 victory at Real Betis in La Liga on Saturday, making him a doubt for the final two games of their title challenge.
Italy will face the runners-up of Group C next in London on June 26, while Wales will take on the runners-up of Group B on the same day in Amsterdam.
Italy's third goal made history as it marked the first time they had scored three goals in a match at the Euros in their 39th attempt.
Claudio Ranieri has received an honour from the Italian president after the soccer manager led rank outsiders Leicester City to the top of the English Premier League.
Images from Saturday's Premier League matches.
Jamie Vardy was named the Premier League's player of the month for the second month in succession, while Claudio Ranieri bagged the managerial award to ensure a clean sweep for Leicester City.
Claudio Ranieri said his "dream died" when he was sacked by Leicester City nine months after leading them to the English Premier League title against all the odds.
Manchester City struck an early blow for the forthcoming Premier League campaign as they beat Liverpool on penalties to win the Community Shield at Wembley on Sunday after an absorbing contest had finished 1-1.
Ranieri had recognised his future at the West London side was uncertain after Wednesday's stinging 2-0 defeat at Southampton.
The old guard, once again, came good for Italy, this time steering the Azzurri to Euro 2020 glory, but wily defensive stalwarts Leonardo Bonucci and Giorgio Chiellini cannot go on forever.
Ranieri left the Midlands club in February, just nine months after winning the Premier League title, with Leicester 17th in the standings and battling relegation. Vardy has since faced accusations of influencing the decision to sack the Italian.
Pep Guardiola has criticised the weight of the match ball used in the League Cup after his team failed to score in their fourth round match against Wolverhampton Wanderers and won 4-1 on penalties.
Lecister City's dynamic duo Jamie Vardy and Riyad Mahrez are not for sale at any price, manager Claudio Ranieri asserted after the pair combined again to fire their team back to the top of the Premier League.
The European Football Championship kicked off on Friday, June 11, and with the first round of matches in the league stage of Euro 2020 done and dusted, here's a look at the five best goals thus far.
Peru beat 10-man Venezuela 1-0 at the Copa America on Thursday.
Images from Copa America matches played on Monday.
Manchester City have signed Chile goalkeeper Claudio Bravo from Barcelona on a four-year contract for an initial 18 million euros (15.37 million pounds), the clubs confirmed on Thursday.
Italy coach Antonio Conte summoned help from astronaut Luca Parmitano to inspire his players ahead of Friday's Euro 2016 game against Sweden in Toulouse.
Shakespeare assumed a caretaker role in February after Claudio Ranieri, who led Leicester to a stunning Premier League title triumph in 2015-16, was dismissed with the club mired in relegation trouble.
Alli was caught on video deliberately swinging his arm into the stomach of West Bromwich Albion's Claudio Yacob during Monday's 1-1 draw at White Hart Lane
Italy midfielder Alessandro Florenzi believes they can prove the doubters wrong again in Friday's Euro 2016 clash with Sweden in Toulouse.
Images from the English Premier League matches played on Saturday.