"I welcome this like I would welcome the kind of match between two clubs at the top of their game."
Triesman, who is chairman of the England bid, was joined by England head coach Fabio Capello and secretary of state for culture, media and sport, Andy Burnham to meet Fifa president Sepp Blatter and put forward the bid at Fifa headquarters in Zurich.
"It was extremely helpful to be able to confirm the Government's support for the initiative," Triesman added.
The joint applications, from the Netherlands and Belgium and Spain and Portugal, are known not to be favoured by Fifa president Sepp Blatter
"As soon as there is a [sole] candidacy or three or four relevant candidacies, we are directly going to reject the double candidacies," he told a South American Football Confederation meeting last week.
Though there is no official Fifa policy to oppose joint bids, there is pressure on Spain to bid without Portugal attached.
"Countries capable of staging the event alone should do so," said a Fifa spokesman.
Wembley Stadium is likely to play a key role in England's 2018 bid
Fifa said in December that bids for the 2018 and 2022 World Cups would be announced at the same time in December 2010.
Should a 2018 bid fail, it now means countries can enter the 2022 vote straight afterwards, although Fifa's tournament rotation policy prevents a nation from hosting the World Cup if either of the previous two tournaments were held on the same continent.
As such, should another European nation win the right to host the 2018 World Cup, England could not bid for 2022.
South American countries may not bid for either the 2018 or 2022 World Cups because Brazil will host the 2014 tournament.
Australia's campaign is likely to receive support from Blatter, who said in May 2008 that it would be "very special" if the tournament went down under for the first time.
"We know we have the capacity, experience and expertise to deliver a successful Fifa World Cup," stated Football Federation of Australia chairman Frank Lowy.
Full details of the tendering process will be sent to the potential host nations by 16 February, with final documents for each bid to be submitted by May 2010.
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