Tiger Airways says its priority is to work with the aviation regulator to have its grounding lifted, as its Singapore-based chief executive heads to Australia to lead the talks.
Singapore company Tiger Airways Holdings' group president Tony Davis is expected in Australia shortly to head the talks with the Civil Aviation Safety Authority.
In an Australian first, CASA grounded all Tiger Airways Australia's domestic flights for a week from 11pm on Friday over safety concerns.
It has yet to decide if it will go to the Federal Court to seek an extension of the grounding.
A Tiger Airways Holdings spokeswoman said the priority was working with CASA to have the suspension lifted.
"They're absolutely focused on getting that sorted," she said on Monday.
"That's the priority to work with CASA at the moment to make sure that the issues are resolved."
The board of the Singapore company has told Mr Davis to focus on getting the Australian subsidiary back operating as soon as possible.
Tiger Airways Holdings estimates the suspension will cost $S2 million ($A1.5 million) a week.
In suspending Tiger's flights for a week, CASA said it believed permitting the airline to continue to fly posed a serious and imminent risk to air safety.
Mr Davis has said he does not accept there are immediate risks to air safety.
"Clearly we want to make sure that our services are as safe as they possibly can be and clearly when CASA has concerns, we have to take those seriously," Mr Davis told the ABC on the weekend.
"But we think that the specific issues that they've raised with us are still under investigation."
Passengers are still able to make bookings for Tiger flights from next Sunday.
"They've temporarily suspended bookings but I guess beyond that they probably will take bookings," the Tiger spokeswoman said.
"As they get more clarity during the week they can make decisions going forward but I think the focus for this week is to work with CASA on getting the suspension lifted."