Stephen Eustáquio struck a stunning stoppage-time volley as Canada edged South Africa 1-0 to reach the World Cup Round of 16 for the first time in their history.
In a knockout tie that crackled with tension at SoFi Stadium, the co-hosts dominated the chances but had to wait until the 92nd minute to break a stubborn Bafana Bafana resistance.
Jesse Marsch's side came out with intent, their pressing relentless from the first whistle. With largely the same lineup that looked tentative in the opener against Bosnia-Herzegovina, Canada came out with more fight, and its press bordered on the maniacal.
South Africa, though, refused to be rushed. The South Africans, who upset South Korea in the group stage by playing cagey, counter-attacking soccer, managed the pressure and gradually slowed the game, doing everything with a pace-sapping composure.
Canada's best first-half opening arrived just before the break. Its best chance came on a corner, when Moïse Bombito's header was cleared off the line, and Tajon Buchanan's follow-up was smartly saved by Ronwen Williams.
Aubrey Modiba's goal-line clearance and a string of Williams saves kept the deadlock intact, as South Africa's resolute backline weathered wave after wave of pressure.
The second half brought more Canadian threat.
Canada came close in the 63rd minute on a break led by substitute Niko Sigur, who fed an onrushing Tani Oluwaseyi, whose shot was stopped by Williams before Mbekezeli Mbokazi knocked the ball away from Jonathan David.
Marsch then rolled the dice with his bench. He summoned waves of substitutes, including Alphonso Davies, making his first appearance for the national team in more than a year, and Eustáquio took the armband off and handed it to Davies.
South Africa offered little going forward, their lone real moment falling to Oswin Appollis, whose dipping effort from distance drew a diving stop from Maxime Crépeau.
Just as extra time loomed, the breakthrough came. Jacob Shaffelburg's cross was headed away by a South African defender but the ball fell straight to Eustáquio, who chested it down and lashed a right-footed shot past Williams.
It was a finish fit to settle any occasion. It was Eustáquio who led his team to the Round of 16, his volley from well outside the box inch perfect.
The numbers underlined Canada's superiority.
Canada had the lion's share of the big moments, out-chancing South Africa 12-6, and while it had just 42 per cent of the possession, it had 28 touches in the opposition box to just nine for South Africa.
For Hugo Broos and South Africa, it was a heartbreaking end to a historic campaign that had already exceeded expectations after reaching the knockout stage for the first time.
Canada march on. They will now play the winner of the Netherlands vs. Morocco game in Houston on Saturday, continuing the deepest World Cup run in the nation's history.
