Socceroos captain Lucas Neill says his side would welcome the opportunity to take on England at Wembley in a friendly next month.
Australia last played England in 2003 when the Socceroos upset the hosts 3-1 at London's Upton Park.
"It's another huge game for us against one of the biggest teams in the world, one of the most famous teams in the world," Neill said of a potential rematch against the Three Lions.
"Like playing Brazil in Brazil, like playing France in France, these are all very tempting matches and I'm sure that the people who arrange those games will definitely take serious consideration of the possibility."
England is keen to play Australia in a friendly next month provided it has have already qualified for the World Cup in Brazil.
Whoever takes over the reins of the Socceroos following the sacking of Holger Osieck will have just three international matches to prepare the squad ahead of the mid-2014 tournament.
It was thought two dates in November would likely be played in Australia with a March fixture scheduled in Europe.
But British tabloid The Daily Mirror reports an England friendly is on the cards.
"Roy Hodgson has lined up a November friendly with Australia," the paper stated on Monday.
"The Football Association have already sounded out the Socceroos about a fixture - as long as England reach the World Cup finals."
The FA refused to comment when contacted by AAP.
A Football Federation Australia spokesman says FFA is always exploring options on the international calendar "but the preference is to play matches in Australia in November".
England needs to beat Poland on Tuesday night (Wednesday morning AEDT) to qualify for Brazil and avoid the play-offs.
Neill noted it therefore wasn't possible to yet know who the Socceroos would play.
"The plan was to play games in Australia and as far as I know that is (still) the ideal plan," he said on Monday.
The post-Osieck era begins under interim coach Aurelio Vidmar when Australia face Canada in London also on Tuesday night (Wednesday morning AEDT).
The match at Craven Cottage represents a chance to restore some pride following successive 6-0 defeats, while Socceroo players' futures are on the line with a new head coach likely to shake up the squad.
Neill says the Brazil and France friendlies clearly backfired for Osieck "because it's cost him his job".
"But when you get offered to play teams like that it's very hard to say no," the captain said.
"Holger's idea was to play the very best in the world to see where we are at. We've certainly discovered that."
Neill said the experience - painful as it was - should benefit the team down the track.