Mikel Merino's last-gasp header sent Spain into the semi-finals of Euro 2024 as La Roja beat hosts Germany 2-1 after extra time.
Florian Wirtz's 89th-minute strike had cancelled out Dani Olmo's calm finish in a frantic encounter in Stuttgart on Friday.
Yet having had the best chances of extra time, Germany became the first Euros hosts to lose a quarter-final when Merino brilliantly headed home Spain's latest ever goal in the competition in the 119th minute.
Niclas Fullkrug's header was just inches away from rescuing Germany and setting up penalties, but Luis de la Fuente's team, who had Dani Carvajal sent off late on, held on to tee up a clash with either Portugal or France.
Pedri's early injury saw Olmo come on, and the substitute sparked a slow-burner of a contest into life in the 51st minute.
After seeing Alvaro Morata lash over from close range, Olmo made no mistake when he side-footed home from Lamine Yamal's cutback.
Simon made a fantastic save from Robert Andrich's drive, before the post came to Spain's salvation when Niclas Fullkrug's effort clipped off the right-hand upright.
Germany should have been level when Simon made a calamitous clearance soon after, but with the goal at his mercy, Havertz chipped over.
But Havertz's blushes were spared by Wirtz, who drilled in off the post after latching onto Joshua Kimmich's knockdown.
Wirtz had the best chance of the first half of extra time, sending a low effort just wide, before chaos broke out.
Germany saw a penalty appeal turned down after Jamal Musiala hit Marc Cucurella's arm, and Simon saved a fantastic Fullkrug header.
With penalties beckoning, Spain broke clear, and La Roja were in ecstasy as Merino planted in from Olmo's inch-perfect cross.
Ferran Torres' poor finish moments later could have proved costly had Fullkrug's attempt been half a yard to the left, but it was not to be for Germany, even though Spain were reduced to 10 for the final minute after Carvajal picked up his second booking.
Spain call on the super-subs as Lamal sparkles again
Olmo is now the first Spain player to score two goals as a substitute at a single edition of the Euros, and third at any major tournament, after Fernando Morientes at the 2002 World Cup and Morata at the 2022 edition of that competition.
The RB Leipzig attacker is also the second player to have scored in two consecutive knockout stage appearances for Spain at the European Championships, after Chus Pereda way back in 1964.
And Merino's winner meant Spain have now scored two goals from substitutes in a single Euros match for just the second time, after the Euro 2012 final against Italy.
There has been no such scoring luck so far for Yamal at Euro 2024, with the youngster having had 13 shots without finding the back of the net (only Cristiano Ronaldo, with 20, has had more attempts and not scored at this tournament).
However, he again showcased his creative talents, laying on three chances and taking his tally of assists for the tournament to three. He is the first-ever teenager to record three assists at a single edition of the Euros or World Cup.
Musiala cannot find the magic touch
Jamal Musiala went into Friday's tie having scored in three of Germany's four previous games, and aiming to move clear at the top of the Euro 2024 scoring charts and match Wayne Rooney (at Euro 2004) as the only player to score four goals at a single edition of the tournament while aged 21 or younger.
Yet the Bayern Munich playmaker struggled to wield his usual influence on proceedings, creating only one chance, and though his fellow youngster Wirtz shined, it was not enough for the hosts.
There will be more major tournament opportunities for Musiala and Wirtz, but at the other end of the age spectrum, Toni Kroos made his final appearance before retirement. The 34-year-old finished the match with 83 passes attempted, the most on the pitch.
De la Fuente: Yamal must adapt to 'reality' of heavy treatment at Euro 2024
Lamine Yamal must appreciate the "reality" of rough treatment by opponents at Euro 2024, so says Spain head coach Luis de la Fuente, ahead of Tuesday's last-four meeting with France.
The 16-year-old has impressed for La Roja in Germany, assisting three goals as Spain have won all five of their matches at the tournament.
No Spanish player has ever registered more assists at a single European Championship tournament, while Yamal has created 14 chances – the most at a major competition for Spain since Xavi's 25 at Euro 2012.
Yet Spain have been somewhat frustrated by tactics from the opposition to stop Yamal and wing partner Nico Williams, with repeated calls for more protection of their players.
Yamal has only won four free-kicks at this tournament, however, and De la Fuente acknowledged his teenage star must learn to adapt.
"It's part of football, it's part of the game," De la Fuente said at Monday's pre-match press conference. "There are ways to gain an edge through playing or with intimidatory tactics.
"Each one uses their tools, always within a disciplinary regime imposed by the referee.
"You have to explain to a 16-year-old kid that he needs to see that reality. Lamine has to continue being him and learn that this is how it is.
"You will gain experience little by little. And he does it very quickly."
Though De la Fuente suggested Yamal must learn from his early playing days, Spain team-mate Rodri went the other way, demanding greater protection for his youthful colleague.
"As football players, we always want to be protected," Rodri said. "This is the job of the referee.
"I mean, he puts the standard, so what is a yellow card or red card is his job. It's not our job. And we play with the rules or with the level he put, this is the reality."
France's Adrien Rabiot has already referenced Yamal's danger, with the Les Bleus midfielder keen on putting "pressure" on the Barcelona forward.
Rodri expects a tough test, nevertheless, as Spain attempt to tee up a final with either the Netherlands or England, who meet on Wednesday in Dortmund.
"Tomorrow is going to be a very, very physical battle because they are a very physical team," the Manchester City star added.
"So we will have to go in the same way, try to be strong, use the body, because we know the power they have."
Paraguay dismiss Garnero after dismal Copa America campaign
Paraguay have dismissed head coach Daniel Garnero after less than a year in charge following their woeful Copa America campaign.
The Paraguayan Football Association (APF) announced the decision on Monday, parting ways with the 54-year-old after just 10 matches in charge.
Paraguay finished bottom of Group D without a win at the 2024 Copa, losing to Colombia 2-1, 4-1 to Brazil and then 2-1 to Costa Rica.
"The APF announces the termination of the relationship with DT Daniel Garnero as head coach of the Paraguayan national team," the federation said in a short statement on social media.
The 54-year-old was only appointed in September 2023, replacing compatriot Guillermo Barros Schelotto.
Yet Argentina's Garnero was given his marching orders with Paraguay out of the continental tournament, and sitting seventh in the 10-team standings for South American qualification to the 2026 World Cup.
Borussia Dortmund seal €22.5m deal for Stuttgart captain Anton
Borussia Dortmund have signed Stuttgart captain Waldemar Anton in a deal said to be worth €22.5million.
Last season's beaten Champions League finalists have been on the lookout for reinforcements at centre-back after allowing Mats Hummels to leave on a free.
Anton, who appeared twice for Germany as they reached the quarter-finals at Euro 2024, was a key part of the Stuttgart team that finished second in the Bundesliga last season.
He played in 33 of their 34 league games in 2023-24 as they finished as runners-up to unbeaten champions Bayer Leverkusen, one point clear of Bayern Munich.
Anton, who has penned a four-year deal with BVB, told the club's website: "I didn't originally plan to change clubs – but then Borussia Dortmund came along. A top club that has just reached the Champions League final. This shows the potential of this club."
He is the first signing to arrive at Signal Iduna Park under Nuri Sahin, who succeeded Edin Terzic as head coach last month.
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