Communications Minister Anika Wells will hold talks with SingTel officials, who are in Sydney this week.
The meeting, to be held on Tuesday, was confirmed by another cabinet minister, Murray Watt.
Senator Watt was at pains to reassure Australians about the triple-zero service, while acknowledging many are "really concerned".
"I'm very confident that Anika will really lay down the law to the parent company CEO," he told Nine's Today show.
"She's obviously already had discussions with Optus themselves, but escalating that now to the parent company demonstrates how seriously we are taking this."
Ms Wells will "make very clear what our expectations are and what all Australians' expectations are".
"We want to make sure that if people want to ring (triple zero) through the Optus system, that it's going to work and Optus has got to deliver to Australians," Senator Watt added.
Meanwhile, a consumer group says Optus should be forced to accept outside technical help to restore public faith in the telco's ability to manage triple-zero calls.
Optus apologised to 4500 customers in the NSW south coast town of Dapto on Monday, after they were unable to make emergency calls for eight hours on Sunday morning.
The revelation came after Optus suffered an outage on September 18 that hit households in SA, WA and the NT, that's been linked to three deaths.
That incident is the subject of an Optus probe and a federal communications watchdog investigation.
The Australian Communications Consumer Action Network wants Ms Wells to use licensing powers to mandate independent technical oversight of emergency and network reliability systems at Optus.
"This would provide some assurance that there is strict oversight preventing further failures," network chief executive Carol Bennett said in a statement.
"The community must have confidence that the emergency call system works 100 per cent of the time when they most need it."
Griffith University competition and retail expert Graeme Hughes said the best outcome from talks between Ms Wells and Singtel would be a "mandatory systemic overhaul guaranteed by the parent company's resources and overseen by an external and impartial review board".
"Optus's second triple-zero service failure in less than two weeks illustrates that the current model has collapsed, pushing the issue into a state of dangerous systemic fragility," associate professor Hughes told AAP.
"The localised September 28 Dapto outage confirmed the repeated failure of the fundamental 'camp-on' failsafe, endangering public safety."
The camp-on mechanism is when a triple-zero call fails to connect from a phone user's network and is then automatically routed through another provider.
Optus CEO Stephen Rue, under pressure to keep his job, has admitted regular processes were not followed on the September 18 outage, which occurred during a network firewall upgrade.
This month's issues come after Optus paid more than $12 million in penalties in 2024 for breaching emergency call rules during a nationwide network outage a year earlier that caused significant disruption.
In the 2023 incident, Optus failed to provide emergency call access to 2145 people and subsequently did not conduct welfare checks on 369 people who tried to call triple zero, the communications watchdog found.
Mr Rue took over as the company's chief executive in 2024 from Kelly Bayer Rosmarin, who resigned after the nationwide outage.
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