Dutch forward Arjen Robben praised the Socceroos' performance in the Netherlands' 3-2 win in Porto Alegre on Wednesday.
Australia moved 2-1 ahead early in the second half of the Group B match, after a dominant first-half display, and began to dream of claiming one of the upsets of the FIFA World Cup.
While the Netherlands responded to eventually triumph - having initially led 1-0 through Robben's first-half strike - their left-footed winger conceded Australia had put his team 'under pressure'.
"They played really aggressively. They played like it was their last chance," Robben said.
"We were a little bit under pressure but we gave the ball away too easily."
Robben, however, was pleased with how the Dutch fought back with goals from Robin van Persie and Memphis Depay securing their second victory of the World Cup, after their 5-1 thumping of Spain to open their campaign.
With Chile knocking off Spain 2-0 in the second Group B encounter on Wednesday, Robben and his team-mates have qualified for the round of 16.
"We made a big step today. We have maximum points," the 30-year-old said.
"Goal difference can make a difference, so the first game was like an extra point for us."
The Netherlands' goalkeeper Jasper Cillessen labelled the game at the Estadio Beira-Rio a 'tough' one but underlined that the crucial factor was that Louis van Gaal's men had won.
"Ultimately, you want to win and we did. That is the key," the 25-year-old told Algemeen Dagblad .
"It was a tough match. Australia played hard and well, we had a hard time with it."
Cillessen added that Van Gaal's side would need to improve if they are to be a threat in the knockout stages.
"We want to be better. We are pleased that we have gotten through (to the round of 16) but we still have a match (to go)," the goalkeeper said.
"Tomorrow we are going to analyse this match and then we will focus on Chile."
Progress Report: Tom Rogic
We all know Tom Rogic is adored by those in Glasgow green and white. The Caltex Socceroo has been a big factor in maintaining Celtic’s domestic dominance in Scotland, and he’s collected eight trophies in total since joining the Bhoys in 2013. But how is the Wizard of Oz far
The power of football: Mooy inspires young cancer patient
Caltex Socceroos star Aaron Mooy had plenty of admirers for his performances at the 2018 FIFA World Cup, but probably none more special than young Bella. Bella is battling brain cancer and started chemotherapy last year, with the treatment seeing the young girl lose all her ha
Aussies Abroad weekend wrap: how did your Caltex Socceroos perform?
Missed your Caltex Socceroos in action over the weekend? We've got you covered. Every week we're wrapping up all the club football action involving our Aussies abroad. AUSSIES ABROAD: Rogic, Ryan and Mabil impress in Europe PROGRESS REPORT: Mark Milligan 'AMAZING': Pat