Brazil need a point against Serbia to guarantee their place, while Switzerland just need draw as well.
Second-half goals from defenders Ludwig Augustinsson and Andreas Granqvist, from the penalty spot, plus a comical own goal were reward for a physical display from Sweden, who only made it to Russian Federation by beating Italy in the play-offs.
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Janne Andersson's side reaped the rewards of a relentless attacking display to secure top spot in Group F, with Mexico following them through as runners-up after Germany's shock 2-0 defeat to South Korea.
"I'm so incredibly proud, moved nearly, by the thought of how we performed in the match".
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Ludwig Augustinsson volleyed a left-footed shot past goalkeeper Guillermo Ochoa from close range five minutes into the second half, and captain Andreas Granqvist converted on penalty kick to help Sweden take control Wednesday and win Group F.
With Sweden having topped the group, Mexico will now face Brazil in a mouthwatering second round match-up. A confident Mexico team played Sweden in the final game of the group stage.
"For the first time in many, many games when we play against a team that play that approach, direct football, we had this formation. We've definitely grown since the last match".
Vela fired high and wide of the Sweden crossbar, before Berg hit the side-netting down the other end as chances continued to arrive, but the two teams entered the half-time break at 0-0, which was also the score in Germany's clash with South Korea. Mexico has been to the round of 16 for seven straight World Cups.
Goalkeeper Ochoa during this morning's game. It's exactly the kind of big dreams that 30-year-old forward Javier Hernandez was criticized for prior to the tournament when he said winning this year's World Cup was a possibility.
When Edson Alvarez got his legs tangled and turned the ball into his own net, the writing was on the wall for Mexico. Once again the players have been highlighting the importance and value of the strong unity within the group. They were still in position to advance despite trailing Sweden, but they were waiting - some with tears in their eyes - for Germany to do the inevitable and ruin their chances of moving on.