Behich feels the world is taking notice of the Socceroos after the way they took it to France and Denmark.
As it transpired, even a win would not have been enough for Australia, however, with Denmark claiming the point they needed against France to join Didier Deschamps's side in the knockout round of the competition.
"We bought into what they wanted to do and it's showing on the pitch the way we're playing football".
Australia striker Tim Cahill, a 38-year-old veteran who entered the match in the 53rd minute, had a chance to become only the fifth player to score in four World Cups, joining Pele, Uwe Seeler, Miroslav Klose and Cristiano Ronaldo.
Leckie had another opportunity for Australia 10 minutes before the end of the first period, but the attacker just could not meet a low cross from Robbie Kruse, with two Peruvian defenders sliding in to turn the ball behind. "This team has really improved from the day I started working with them, and we became better and better and only at the World Cup you could see that for this team, it's hard to make the difference in goals at this level".
Behich said he was playing "gutsy football" at this World Cup and feels his performances have been consistent in Russian Federation.
"Going from the last game, they're a good team and they break fast", he said.
"We were effective this time".
"We're focussing on us and what we need to do", he said. The last time was in its second match of the 1982 tournament, a 1-1 draw against Italy.
"But also his aerial ability, you have pace in that team as well".
Twitter went into meltdown after he gave the finger, but many criticised the man who famously knocked out England in the 86 World Cup with a blatant handball goal, known as the "Hand of God".
While Argentina's World Cup has been something of a shambles so far, La Albiceleste have just about managed to scrape through the group stages, thanks to a 2-1 win against Nigeria tonight. Ghana did it from 2006-2010.