Harold Holt: "Mr President, and Mrs Johnson, welcome to Australia."
Lyndon B. Johnson: "I am honoured beyond measure tonight. Upon my arrival to see the cream and young manner who have rendered such gallant and distinguished service in Vietnam."
Ronald Reagan: "It's still a long way from Australia to the United States, but modern technology and good old fashioned friendship are bringing us closer than ever before. Allies must work together as partners to meet their shared responsibilities. The security which we derive from these arrangements is at the foundation of the growing prosperity we share."
Bill Clinton: "The United States is proud to be Australia's largest foreign investor and largest trading partner. We are also proud of the wars we have fought together and the peace we have fought to sustain together."
Barack Obama: "Keep in mind that in our fight against ISIL, Australia is the second-largest contributor of troops on the ground after the United States."
Warm words about Australia from several former US presidents.
But that traditionally warm relationship appears under threat following Mr Trump's criticism of a refugee deal between the two countries which he described on Twitter as a "dumb deal."
The Washington Post reported the US president and Malcolm Turnbull were scheduled to speak for an hour on Saturday, but the call ended abruptly after about 25 minutes.
The report said Mr Trump accused Australia of trying to export the "next Boston bombers" and said the call was the worst he'd had of the five calls with world leaders that day.
Under the agreement with the previous Obama administration, the US was to resettle up to 1,250 refugees from offshore detention centres in Papua New Guinea and Nauru.
It was viewed by some as a return for Australia's agreement in September to resettle refugees from El Salvador, Guatemala and Honduras.
Donald Trump says he's questioning the November agreement.
"(I) have a lot of respect for Australia. I love Australia as a country, but we had a problem where, for whatever reason, President Obama said that they were going to take probably well over a thousand illegal immigrants who were in prisons, and they were going to bring them in take them into this country and I just said, 'why?' I just wanted to ask a question. I can ask that question of you, why?"
Tom Switzer, from the United States Studies Centre at the University of Sydney, says for the past century, Australia has been closely aligned to the US on every major foreign policy issue.
"We've had prime ministers say, 'all the way with LBJ'. John Gorton in the 1960s and 70s at the height of the Vietnam war said, to a possibly bemused Richard Nixon that 'Australia would go a-waltzing Matilda with you'. So the alliance is part and parcel of the Australian psyche and here we have an American president who doesn't think of the alliance in terms of values, and loyalty and friendship. He's thinking purely in terms of what's in it for him."
Australia and the United States have enjoyed a reliable defence relationship.
They are among the five nations that make up the so-called 'Five Eyes' group, an intelligence-sharing network.
Australia, New Zealand and the US have also been allies under a formal security treaty since 1951 known as ANZUS.
The US plans to send extra military aircraft to Australia's north this year as part of a US Marines deployment bolstering its military presence close to the disputed South China Sea.
Australia is also one of 10 US allies purchasing Lockheed Martin's F-35 fighter jet program.
Former foreign minister, Bob Carr, has told the ABC Mr Trump's comments reveal a change to the relationship.
"Where an American President can tweet his contempt for an Australian Prime Minister after what the Australian PM might have expected to have been treated as a confidential exchange between friends. It has been a rude treatment of an Australian leader unprecedented in the contact between Australian leadership and American leadership. It was followed up by a highly offensive tweet that was entirely unnecessary."
Despite the staunch criticism of the refugee deal with Australia, the Trump administration says it will continue to review the deal.
But White House spokesman Sean Spicer has reiterated that, should it go ahead, they will carry out thorough security checks.
"So he has ensured that while he has respect for the Australian people and respect for Prime Minister Trumble (sic) that we do not pose a threat to the United States of America, that the deal that was cut by the last administration it's something that he's extremely, extremely upset with."
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