Trump is set to meet Turnbull on Thursday night here at the Intrepid Naval Museum, a retired US Navy vessel that is anchored on the Hudson River.
Mr Trump held a joint news conference with Mr Turnbull in NY just hours after the House passed a bill to repeal and replace Obamacare.
During the Republican campaign to replace Obamacare they railed against government-funded universal heath-care systems like Australia's.
President Donald Trump had kind words for the Australian health care system at a meeting with that country's prime minister Thursday, just hours after Republican members of Congress succeeded in passing their efforts to roll back the Affordable Care Act. 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".
"We can put the refugee deal behind you and move on", Turnbull said on Thursday.
Mr Turnbull also drew criticism after he told Mr Trump in front of reporters: "Congratulations on your vote today".
"A large part of it would be fewer people are insured, so they don't have access to health care and aren't spending a lot on health care", Cox noted. "Maybe he wants to take a look at the Canadian health care system, or systems throughout Europe", he added. "What works in Australia may not work in the United States", she said.
U.S. President Trump To Visit Saudi Arabia, Israel, Italy This Month
Former President Barack Obama had already made three foreign trips by the same point in his first term, visiting nine countries. Pope Francis will meet President Trump on his first official visit to Europe, the Vatican said Thursday (May 4).
During their meeting, Mr Trump briefed Mr Turnbull about his strategy for dealing with the mounting nuclear threat from North Korea. "We didn't really have a rough phone call", Trump said in dinner remarks. "You've flown over halfway across the world, he's stuck in some waiting room in NY and he's been snubbed by the president of the U.S".
The pair convened on a decommissioned aircraft carrier, the Intrepid, to mark the 75th Anniversary of the Battle of the Coral Sea-and to steady the long-standing alliance after relations soured at a time of growing tensions in the Asia-Pacific.
The president's comments came after he showered Mr Turnbull with praise.
Australian and USA officials were breathing sighs of relief after the two leaders seemed to enjoy each other's company. "That's great!" he said.
During his speech, Trump brought the call up once more.
"Oh yeah sure", Mr Trump said when asked about the USA accepting refugees held on Manus Island and Nauru. Premiums are going to come down substantially, deductibles are going to come down.
"Thanks also to the legendary talented golfer Greg Norman".