In speaking about that call on Thursday Trump said, : "It got a little bit testy, but that's okay".
Democrats, and more than a handful Republicans, say Trump's health care plan will leave millions of Americans without insurance and raise private costs for those with pre-existing conditions.
Vermont Senator Bernie Sanders says the House bill to repeal Obamacare is really just a massive tax cut for the rich.
Donald Trump called his relationship with Australian Prime Minister Malcolm Turnbull "fantastic" following a meeting in NY.
Mr Turnbull received similar backlash on social media for his appraisal of President Trump's congressional victory, which is expected to leave 24 million more Americans without health coverage by 2026, Reuters reported. As Trump gloated about how he thinks the bill will improve health care for Americans, he turned to Turnbull and said, "You have better health care than we do".
US could distribute equipment to Syrian Kurds 'very quickly' - spokesman
Tuesday's announcement comes ahead of Turkish President Recep Tayyip Erdogan's visit to Washington next week to meet Trump. Turkey fears weapons delivered to Syrian fighters could end up in the hands of the PKK and be turned on Turkish targets.
He added that Americans will have a "great" system soon, referring to the just-passed House of Representatives health care bill.
On Thursday night, Trump raised eyebrows when he highly praised Australia's universal healthcare system even though that type of system is criticized by conservatives.
Earlier on Friday afternoon, White House spokeswoman Sarah Huckabee Sanders sought to downplay Trump's comments to Turnbull.
Mr Turnbull said Mr Trump was different to former president Barack Obama.
Pressed later in the briefing on Trump's comments, Sanders maintained that the President was simply being nice to a fellow head of state. "That's great. Let's take a look at the Australian health care system", Sanders said. "What works in Australia may not work in the United States", she said.
Erik Paulsen calls for independent investigation after Trump's firing of Comey
But we know from his public statements that Trump does not share any of Rosenstein's concerns that Comey was unfair to Clinton. It only invites further discussion of whether Comey's misdeeds actually, and unfairly, gave the election to Trump.
"Wait a minute!" Sanders said, following the explosion of laughter.
Last Friday, Trump made a decision to stick to the original statement- with an amendment: "Of course the Australians have better healthcare than we do - everybody does", he posted to Twitter.
Mr Trump was seated with Mr Turnbull, Ambassador to the US Joe Hockey, Rupert Murdoch and Anthony Pratt.
Under the Trump replacement issues like diabetes, rape, sexual assault, domestic violence, C-sections, sleep apnea, asthma, depression, and anxiety could be considered grounds for denying coverage or significantly higher premiums depending on the insurance company.
The World Health Organization ranked the U.S.as 37th out of 191 countries on a study of overall national health system performance in 2016 - behind Australia, at 32, but well ahead of bottom-tier countries like Sierra Leone, Myanmar and Central African Republic.
Day after Comey firing, Sean Spicer to miss White House briefing
Asked when the pair last spoke, he said: "Uh, I don't know". - CNN's Sara Murray and Barbara Starr contributed reporting. Sanders told Politico any talk of her taking Spicer's position in the briefing room is "another ridiculous story".
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