Jackson Irvine, Awer Mabil and Garang Kuol fired Australia to a 3-1 victory against Ecuador at the CommBank Stadium on Friday.
In their first game since the World Cup in Qatar, Australia's preparations for the Asian Cup got off to an ideal start.
Senegal progressed to the World Cup knockout stage at the expense of Ecuador after Kalidou Koulibaly's strike sealed a 2-1 win at the Khalifa International Stadium on Tuesday.
Aliou Cisse's side went into the game a point adrift of their opponents, but a deserved victory saw them secure second spot in Group A behind the Netherlands, who beat hosts Qatar in the group's other game.
Aliou Cisse paid tribute to the absent Sadio Mane after Senegal booked their World Cup last-16 spot with a 2-1 win over Ecuador on Tuesday.
The Lions of Teranga leapfrogged their opponents into second in Group A as goals from Ismaila Sarr and Kalidou Koulibaly sealed their progression to the knockout stage for the first time since 2002.
Qatar have become the first side to be eliminated from the World Cup, with the host nation bowing out following the 1-1 draw between the Netherlands and Ecuador in Group A.
The Asian Cup winners were undone in their opening group match against the South Americans, losing 2-0, and fell to a 3-1 defeat to Senegal on Friday, becoming the first World Cup host to lose two matches in a single group round.
Netherlands World Cup captain Virgil van Dijk hit back in the face of stiff criticism from Dutch great Marco van Basten, retorting: "I don't think he's ever positive."
A World Cup draw against Ecuador on Friday was not a result the Netherlands were looking for, with the 1-1 outcome meaning Louis van Gaal's team missed a chance to nail down a last-16 place with a game to spare.
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