Co-hosts Australia beat France 7-6 in a dramatic penalty shootout to reach the last four of the Women's World Cup for the first time after their quarterfinal finished deadlocked at 0-0 following extra time on Saturday.
Australia goalkeeper Mackenzie Arnold saved three penalties and missed one herself in the shootout but it was teenager Vicki Bècho hitting the post with the 12th spot-kick that opened the door for the hosts.
Cortnee Vine showed nerves of steel when she stepped up to fire the ball past Solène Durand into the bottom right corner of the net and send the Matildas into a semifinal against England or Colombia on Wednesday.
The substitute winger raced back towards the centre circle to celebrate with her team mates as the stadium and fan zones around the country exploded in delight.
France, who were looking to reach the semifinals for the second time after 2011, had the better of the first half and extra time and will rue a few chances left out on the pitch as they head home.
Australia forward Mary Fowler had earlier spurned several chances -- one stopped by a sensational block from Elisa de Almeida -- and captain Sam Kerr was unable to get a clear shot on goal after being introduced as a 55th-minute substitute.
France dominated possession for much of the match and had the best of the early chances with Maëlle Lakrar fluffing a golden opportunity to give Les Bleues the lead from a corner in the 12th minute.
Australia's only early chances came against the run of play from set pieces but Fowler had as many as six as the game opened up around halftime.
Kerr entered the fray to a huge ovation in the 55th minute, her first charge forward giving Hayley Raso space for a rasping long-range shot that France's starting goalkeeper Pauline Peyraud-Magnin did well to push over.
France weathered the storm triggered by the introduction of the Australia captain, however, and their 19-year-old substitute Becho was soon threatening down the other end.
The last quarter of an hour of normal time was a tense but ragged affair with half chances at both ends, a theme reprised in the first half of extra time.
France had the better of the second period with Becho lashing a shot from the edge of the box in the 107th minute that goalkeeper Arnold saved well.
That was just a precursor to her heroics in the shootout, in which she twice saved penalties from Kenza Dali with her first stop scratched off because she moved off the line before it was taken.
- María Carvajal