Milan secured a top-four Serie A finish with a 1-0 win at Juventus as Olivier Giroud's header dealt a knockout blow to the Bianconeri's own hopes of Champions League qualification.
Still reeling from their 10-point deduction and Monday's miserable 4-1 defeat at Empoli, Juve required a win at Allianz Stadium to take the top-four battle to the season's final matchday.
However, the Bianconeri's lack of attacking thrust was on full display once again, with Giroud scoring the only goal of the game with an outstanding header as half-time approached on Sunday.
The Rossoneri were comfortable from there as they ensured Juve's chaotic season will end on another sour note, piling more pressure on embattled head coach Massimiliano Allegri.
Sandro Tonali headed Junior Messias' delivery over as Milan started brightly, but Juve soon improved, with Angel Di Maria failing to hook Moise Kean's cut-back home on the stretch.
More Bianconeri chances came and went as Federico Chiesa hammered over and Kean worked Mike Maignan from distance, but Juve found themselves behind five minutes before half-time.
Davide Calabria's hanging cross from the right was met with a textbook header from Giroud, who planted the ball beyond Wojciech Szczesny's despairing dive.
Adrien Rabiot forced a comfortable save from Maignan as Juve toiled after the restart, failing to make any attacking headway without injured striker Dusan Vlahovic.
Szczesny stuck out a leg to deny Alexis Saelemaekers and Rafael Leao fired over on the break, while Danilo had a close-range effort blocked in a goalmouth scramble as Juve's bid for Champions League football ended with a whimper.
What does it mean? Milan profit from Juve woes
When Juventus' 10-point deduction was confirmed earlier this week, Milan were the chief beneficiary after being propelled into the top four.
Stefano Pioli's men were determined not to let that advantage slip here, the Rossoneri weathering the Juve storm midway through the first half and deserving the three points after Giroud's goal.
Milan thus completed just their third Serie A double over Juventus in the last 50 years, also doing so in the 1990-91 and 2009-10 campaigns.
Giroud the man of the moment
Giroud has so often been the man for the big occasion for both club and country, and he gave Szczesny no chance with a firm header just as Juventus looked to be in the ascendency.
The 36-year-old striker has now scored 12 times in Serie A this season, his best return in one of Europe's top five leagues since he hit as many Premier League goals for Arsenal in the 2016-17 campaign.
Fatal blow for Allegri?
Allegri has faced stern criticism for most of the campaign, and the pressure may just become intolerable now they will finish outside of Italy's top four for the first time since 2010-11 (when they finished seventh).
Having also fallen short in the Europa League semi-finals, the Bianconeri have suffered three successive defeats for the first time since doing so in 2011 under Luigi Delneri.
What's next?
Milan wrap up their Serie A season against Verona next Sunday, while Juventus will be playing for a Europa League place when they visit Udinese on the same day.
Dortmund have flown under the radar to reach Champions League final, says Terzic
Borussia Dortmund have benefited from going under the radar during their "unbelievable road" to the Champions League final, according to head coach Edin Terzic.
The Black and Yellow will play either Real Madrid or Bayern Munich in the showpiece on June 1, following a hard-earned 2-0 aggregate win over Paris Saint-Germain in the last four.
Dortmund came into this season on the back of a bitter Bundesliga title loss on the final matchday of the previous campaign, with a 2-2 draw against Mainz handing the title to Bayern on goal difference.
While Terzic's side have been unable to launch a genuine challenge on the domestic front this term - currently occupying fifth place and 24 points adrift of newly crowned champions Bayer Leverkusen - it has been a different story in Europe.
"There is always a team that no one has on their radar that reaches the quarter-finals or the semi-finals," he said. "We wanted to be the team that were not necessarily on anyone's radar. That road has been unbelievable."
Indeed, it has. Dortmund began their campaign with a 2-0 defeat at PSG and goalless draw at home to Milan, but recovered to top Group F before seeing off PSV and Atletico Madrid in the round of 16 and quarter-finals respectively.
The 1997 Champions League winners then produced a defensive masterclass across both legs of their semi-final with PSG, to reach their first final since 2013.
"After the second matchday, almost no one believed in us any more," said captain Emre Can, who made his 50th Champions League appearance during the second leg at Parc des Princes.
"We only had one point after two matches, but we kept believing and that was the most important thing. Keeping two clean sheets in two matches against PSG is no mean feat."
Mbappe admits 'I didn't do enough' following PSG's Champions League exit
Kylian Mbappe shouldered the blame for Paris Saint-Germain's 1-0 defeat to Borussia Dortmund on Tuesday, which saw them exit the Champions League semi-finals 2-0 on aggregate.
Mbappe, who is set to leave PSG at the end of the season, was unable to inspire the Ligue 1 champions as they fell short in their latest quest to land the European crown.
The France captain registered a game-high three shots on target and 12 touches in the opposition box during the second leg at Parc des Princes, but his tally of just 51 touches overall was the second-lowest recorded by any PSG player.
And the 25-year-old admitted he should have made a more significant contribution towards his team's cause.
"I tried to help my team as best as I could, but I didn't do enough," he said. "I'm the guy who should score goals and be decisive. When things are good, I take all the limelight and when they are not, you have to take the shadow.
"That's not a problem. The first one who should have scored tonight was me. That's life, and we have to move on - me and the team."
PSG enjoyed the lion's share of possession (69.5 per cent) during the second leg and registered four times as many shots as their opponents did (30 to seven), hitting the woodwork four times.
"In decisive Champions League matches, when you're not effective in both boxes, it's difficult to get through to the next round," Mbappe added. "Even more so when we're talking about a final.
"We're certainly disappointed, but it's not all doom and gloom. We need to build on that and keep working, because I'm sure we'll get there."
Luis Enrique 'proud' of PSG despite Champions League semi-final exit
Luis Enrique expressed his pride at the efforts of his Paris Saint-Germain side, despite their Champions League exit at the hands of Borussia Dortmund.
The Ligue 1 champions were knocked out in the semi-finals on Tuesday after a 2-0 aggregate loss to the Bundesliga giants, having hit the woodwork six times over the two legs - making it a record tally of 14 for the campaign - and managed 31 attempts at Parc des Princes.
PSG missed a golden opportunity to reach their second Champions League final, but it is not all doom and gloom after a season of transition with a new coach.
The Ligue 1 title is already in the bag with three matches remaining, and they have a Coupe de France final showdown with Lyon to come later this month.
"We were not inferior over the two legs, but football rewards those who score - not those who hit the woodwork," Luis Enrique said.
"My goal was to be fighting for all the titles. Tonight I'm proud of my team, of all the players."
PSG have now lost all six legs of their three two-legged Champions League semi-finals, after double defeats against Milan in 1995 and Manchester City in 2021.
The year they reached the final, in 2020, they beat RB Leipzig in a one-off semi-final after COVID-19 disrupted the season, before losing out in the final to Bayern Munich.
This season started with a new coach in Luis Enrique and without Lionel Messi and Neymar, as club president Nasser al-Khelaifi put an emphasis on building a team over individual talents.
While not always brilliant, PSG have looked like an organised outfit and the coach said he was already working on building a team without Kylian Mbappe, who is widely expected to leave at the end of the campaign.
"The players and coach gave their all," Al-Khelaifi said. "Congratulations to Dortmund, we deserved better. It's a tough game. I'm proud of my team, the youngest in Europe.
"We've reached the semi-finals three times in five years. That's not our objective; it's still the final. That's soccer; you have to accept it and sometimes it's not fair. We'll accept it."
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