"We'd done all the hard work on the training pitch and we were able to execute when we were there", said defender John Stones.
Griezmann tried his luck with an effort from outside the box which was straight at Muslera but the keeper's ill-chosen attempt to palm the ball away ended with him merely deflecting the ball into the net.
If Sweden manage to defeat England, a team they have only lost to twice in the last 15 meetings, they will face either Russian Federation or Croatia in the semi-final.
The first match features a number of teammates on their professional clubs facing off against each other when France takes on Uruguay in Nizhny Novgorod. But with Uruguay striker Edinson Cavani injured and on the bench and Luis Suarez neutralised, it was France that scored the goals.
Forward Luis Suarez gave a positive evaluation on Monday of Uruguay's performance at the World Cup in Russian Federation, noting that the team finished in fifth place with the best results of any South American team. France goalkeeper Hugo Lloris dived to his right and got a hand on a header from Martin Caceres, pushing it just wide of the goal.
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Lewis Hamilton celebrates pole position in qualifying for the 2018 British Grand Prix at Silverstone . Hamilton also acknowledged the fanatical F1 supporters at Silverstone on a scorching hot afternoon.
Didier Deschamps (France Coach): "I don't necessarily have convictions, but I've always been certain about some things".
It also means they have the necessary experience.
The 31-year-old has continued his prolific partnership with Luis Suarez in Russian Federation, scoring three times to help his team record four successive victories.
"He is useful in attack but also, because of his game, in defence too".
France largely controlled the game but only managed two shots on target and there was a hint of criticism of the team's tactics in the post-match press conference, particularly as this more defensive-minded display came after the excitement of their 4-3 victory over Argentina in the previous round.
Only conceding one goal so far in the tournament, Uruguay will look to gain strength from their tough defense one more time.
Belgium hold off Brazil fightback to reach semi-finals
There is guaranteed to be a fourth straight European team winning the World Cup on July 15 in Moscow. "So we had to be fearless tactically.
This is the moment when the FIFA World Cup starts to get interesting.
It is why there was one very impressive aspect of the win over Uruguay, even if most of it was rather turgid.
However, the 71-year-old was left frustrated by some of the media coverage of his forward's injury and recovery, so therefore said he will not disclose his team.
Pickford had another save to make soon but England held firm to progress to only their third World Cup semifinal.
As of Friday, Fifa ticket sales for the game stood at 32,000, meaning there were almost 10,000 unsold tickets, which was said to be normal for the Samara Arena.
He was most pleased by the fact that his relatively young squad showed their maturity despite scenes of petulance near the end that could have cost one or two players a semi-final suspension.
Russian Federation 2018: Semi-final combatants set for showdown
Belgium are buzzing after their victory over Brazil while France are flying following their win against Uruguay. The teams have played cagily in the opening minutes, with neither side imposing itself on the other.
- These are the semi-final matchups at the FIFA World Cup (SCHEDULE)
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