Switzerland's Yann Sommer saved France striker Kylian Mbappe's spot kick to secure a 5-4 shoot-out win over the world champions, following a thrilling 3-3 draw after extra time on Monday, to send the Swiss into the Euro 2020 quarterfinals where they will meet Spain.

It was Switzerland's first knockout stage victory at a tournament since 1938 and the first time they have made the last eight since the 1954 World Cup which they hosted.

On a memorable evening for Swiss football, the so-called Nati repeatedly beat the odds, coming from 3-1 down with two goals in the final five minutes to force extra time and eventually penalties.

"It is my responsibility and I told the players that I assume it," French coach Didier Deschamps, who won the 2018 World Cup with France, said of the shock loss.

"When France win, merit goes always to the players. When things are less good then it is my responsibility. But that's the way sport is. You have to accept it even if it hurts."

The French looked to be cruising to victory when Karim Benzema struck twice in two minutes early in the second half.

He latched on to Mbappe's through ball in the 57th minute to cancel out Switzerland's first half lead through Haris Seferovic's header.

Benzema then headed home from near the goal-line two minutes later to take his tournament tally to four as France took control of the game, following a lackluster first half, minutes after the Swiss had missed a 55th minute penalty.

French goalkeeper Hugo Lloris saved Ricardo Rodriguez's spot kick as the Swiss wasted the chance to take a two-goal lead in what looked like a turning point in the match.

By the time Paul Pogba scored with a sensational curled shot into the top corner in the 75th minute to make it 3-1 for France, few believed the momentum could shift once more.

But Seferovic headed in his second goal with five minutes to play and substitute Mario Gavranovic beat Lloris to snatch a 90th-minute equalizer and force the extra period after France substitute Kingsley Coman thundered a drive off the bar.

"It's painful, even more so after a penalty shoot-out where it becomes a lottery," said Lloris.

"The only regret we can have is that at 3-1, we need to manage the match better. We've been able to close it out in the past few years."

Spain's thrilling 5-3 extra-time win in the last-16 at Euro 2020 on Monday began as a nightmare for goalkeeper Unai Simon with a blunder that gifted Croatia a goal but ended in a dream finish as his point-blank save in extra time proved key to victory.

Spain looked in control when Simon failed to control Pedri's back pass in the 20th minute and watched helplessly as the ball bounced over his foot into the net to put Croatia 1-0 ahead.

It was scored from 49 yards (44.8 meters), the longest own-goal ever seen at a European Championship and the first from outside the box.

However, the 24-year-old Simon's teammates kept faith with their goalkeeper.

"We have complete confidence in him," captain Sergio Busquets said.

"Unai has a very laid back mentality but he's ambitious at the same time. And I think he showed that in his reaction to the own goal with the saves he made. He was ultra-secure after the goal."

Simon – who threw his shirt into the crowd after the match and was hugged by teammates – has earned plaudits for his shot stopping. But his lack of composure on the ball has sparked criticism with two traits on full display in the Croatia match.

His blunder put the three-time European champions on the back foot until Pablo Sarabia leveled for Spain, who seemed to be coasting to the last eight after Cesar Azpilicueta and Ferran Torres gave them a 3-1 lead before they conceded two late goals.

The Spaniards eventually triumphed in extra time.

"Mistakes are part of football and when it's a keeper, everyone notices it more," said Spain's winger Mikel Oyarzabal who scored in the 103rd, three minutes after Alvaro Morata made it 4-3.

"Our confidence in Unai is unchanged. I've been involved in very few groups of players who feel as unified or as confident as this one."