The last time Sweden made it this far at the World Cup was in 1994, when the team reached the semifinals.
Typically though, Switzerland fell at the same hurdle.
When Juan Cuadrado blazed horribly over the bar with the goal gaping 10 minutes from time with Colombia's first chance of the match it looked all over for them but there was a fiery sting in the tail of normal time.
"To experience this, to fire Sweden into a quarterfinal together with this group, it feels fantastic", said Forsberg.
Sweden had one attempt fewer on target, with the only difference being that one effort took a heavy deflection and wrong-footed Swiss goalkeeper Yann Sommer to send the Swedes into the next round.
For Andersson's system, it is a attractive marriage as the Sweden coach can allow his players to sit back and soak up pressure before releasing the pace-merchant to devastate the opposition right-back. They were not overawed.
It took a slice of luck to break the deadlock on 66 minutes and it was the Swedish fans celebrating.
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These are two sides that require a finishing touch; Switzerland's lack of a high-class striker has been a problem since Alexander Frei retired and while substitute striker Haris Seferovic had a late header, Robin Olsen saved it.
And on Tuesday, Sweden proved that once again that dogged defending and huge collective effort can be very effective, even in the knockout stages of the World Cup.
Ekdal threatened to double their lead three minutes later with a sharp turn to get away from his marker and send a volley over from 21 yards out. When he was required, Sommer excelled to plunge to his right to save when Berg hooked a shot towards the far corner.
Defensive duo Fabian Schar and Stephan Lichtsteiner - Switzerland's captain - are both suspended for this tie, so Petkovic will have to shuffle his pack accordingly.
The clash ended on a sour note for the Swiss as defender Michael Lang was shown a straight red card for a challenge on Martin Olsson, who was through on goal.
Sweden were initially awarded a penalty for that offence but it was changed to a free-kick on the edge of the box after a review by VAR.
They are certainly not known as a perennial powerhouse in world football, but Sweden have had their moments on the grant stage, notably their World Cup final meeting with Brazil on home soil in 1958, though a Pele masterpiece was the main talking point 60 years ago.
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