Amalie Vangsgaard scored in the 89th minute on Saturday to give Denmark a 1-0 victory over China in its first Women's World Cup match since 2007.
The two teams, who are in Group D, played a thriller, with Vangsgaard's goal coming from a header that sneaked past goalkeeper Huan Xu.
It was the opening match for both teams, who will be back in action on Friday, when Denmark faces England, and China faces Haiti.
Meanwhile England began their title bid unconvincingly in Brisbane against a youthful Haiti side making their debut at the event.
A Georgia Stanway penalty in the first half put Sarina Wiegman's side ahead, but despite having more of the ball and more shots, England had goalkeeper Mary Earps to thank for preserving their narrow lead.
She made a superb save with her left leg as the time ticked down after Roseline Eloissaint found herself all alone with only Earps to beat.
England, who have been embroiled in a dispute with the FA over bonuses in the lead-up to the tournament, are aiming to add a first World Cup crown to the European title they won at Wembley last year.
"We need more ruthlessness," Wiegman said.
"We went very close a couple of times, and their defence was tough too, but we need to keep trying, keep working on it, starting tomorrow."
In contrast to England, the United States and Japan were rampant against other supposed minnows.
The United States cruised to a 3-0 win over Vietnam -- it should have been many more -- before Japan crushed Zambia 5-0.
Sophia Smith was the star of the show for the US team at Eden Park in Auckland, scoring twice and setting up captain Lindsey Horan for the third in front of just over 41,000 fans.
The only sour note for Vlatko Andonovski's side, which featured six World Cup debutants at kick-off, was their lack of finishing ability in front of goal.
They had 27 attempts to none for Vietnam and Alex Morgan missed a penalty.
"At the end, I just felt we needed to be a little bit better with the final shot," said the coach.
"We created opportunities, we had a penalty kick, obviously enough to score a few more goals, but there are lots of positives from game one going into game two."
Next up for the Americans, who brought veteran Megan Rapinoe off the bench for the last 30 minutes, are the Netherlands in a re-run of the 2019 final. The US won that game 2-0 to retain their title.
Japan are not seen as the threat they were in 2011, when they went on to lift the World Cup, but they were much too good for Zambia.
Zambia are the lowest-ranked team at the World Cup and they were on the back foot for long periods against a Japan team who looked like scoring every time they went forward.
Much like the US against Vietnam, the scoreline actually flattered the losers and Zambia could easily have lost by more in front of 16,111 spectators in the New Zealand city of Hamilton.
Hinata Miyazawa scored twice and Mina Tanaka, Jun Endo and Riko Ueki were also on the scoresheet as Japan joined Spain on three points in Group C.
Title contenders Sweden, France and the Netherlands all play on Sunday, with the Dutch facing Portugal before taking on the USA on Thursday.
Off the pitch, New Zealand's squad was temporarily evacuated from its hotel in Auckland after a fire, the team said, but all players and staff were safe. (AFP, Reuters)