Football Federation Australia is keen to lure the world's top three soccer teams - the United States, England and Germany - to Australian soil to play the Matildas.
The FFA's strongest push is being directed at the world No.1 ranked side the USA, who the Matildas have only played twice in Australia out of their 14 meetings since 2000.
The Matildas beat the USA for the first time on their way to winning the 2017 Tournament of Nations, taking their overall record against the USA to one win, two draws and 24 losses.
Fairfax Media understands there is a push from Matildas coach Alen Stajcic to make a clash against the USA the first game to be held at the new Parramatta Stadium, which will be complete by mid-2019.
The women's World Cup will be played in June-July 2019, so depending on the completion of the stadium, the fixture would most likely happen after the World Cup.
FFA's head of community, development and women's football Emma Highwood didn't confirm or deny a desire for the potential Parramatta Stadium game but did reveal the federation's aim to play the USA on home soil.
"We have been in discussions with the USA so we will continue those discussions and we think that it would be a massive opportunity to get them here," Highwood said.
"We are aiming to get the USA here because they are the best team in the world. And if we want to win a World Cup we need to get used to beating these teams ... to keep building that momentum is not just about a one-off. We need to be regularly beating these teams."
Highwood also said the FFA wanted as many games as possible in Australia against Germany (world No.2), England (world No. 3) and Canada (world No.4)over the next few years.
Talks are also under way with the Victorian government about securing a regular series against one team or a number of teams in Victoria on the back of the recent games against China.
"We'd like to explore a regular series - if it's two teams that's fine - ideally you would want more of a cup style with more countries coming to Australia. But at this stage we are open to exploring that whether that's Asian or European.
"We have got a lot of great Asian countries that are really strong like China, Japan, the Koreans. I think we are pretty open to exploring whether that's Asian or not, or even New Zealand.
"From an FFA perspective it's an opportunity for us to take the lead and actually start to think about developing our own kind of Tournament of Nations or own regular tournaments on home soil."
The Matildas are confirmed to play in the 12-team Algarve Cup in Portugal in February-March 2018, the Asian Cup in Jordan in April 2018 and another Tournament of Nations in the USA during their summer.
Despite a packed 2018, Highwood said fitting in as many home games as yearly schedules would allow was imperative to continuing the success - commercial and on-field - of the Matildas.
"It's important for us to keep the momentum going," Highwood said. "We have the Matildas playing on home soil so we can continue to build the fan base and stay connected to grassroots which is really important.
"We need to have regular home games particularly if we are to build the commercial asset of the Matildas. It is great to have a brand but you need the opportunity for partners to connect and activate and they can only do that when the Matildas play at home."
