A 118th minute goal from Angel Di Maria broke the hearts of Switzerland fans around the world and saw Argentina progress to the Quarter Finals.
Switzerland created the best chances of a first half which failed to match the entertainment that has generally been on offer at the World Cup so far.
Argentina displayed greater impetus after half-time but, with Lionel Messi largely subdued, the two-time World Cup winners struggled to fashion clear chances.
Di Maria brought a flying save out of Benaglio early in the second period of extra-time before the Real Madrid attacker sent Argentina into the last eight with two minutes to go by rolling a low shot beyond the Swiss keeper following a burst of pace from Messi.
Switzerland were agonisingly close to equalising in added time when the unmarked Blerim Dzemaili’s header from inside the six-yard box came back off the post and the rebound deflected wide off the substitute.