Australian Prime Minister Malcolm Turnbull reiterated in a new interview that his phone call last week with Donald Trump was "frank and forthright", and he again denied reports that the president hung up on him.

Angered at having to honour the refugee deal with Australia brokered by Barack Obama, Trump blew up at Turnbull over the agreement, complaining that he was "going to get killed" politically.

No senior Coalition figure in Australia - including Prime Minister Malcolm Turnbull or Foreign minister Julie Bishop - has criticised the ban, despite their counterparts in the UK, Canada and Germany doing so. John McCainJohn McCainSenators introduce resolution in support of Australia after Trump call Press: Trump - to Russian Federation with love Head of NSA to brief senators on cyber threats MORE (Ariz.) and Bob CorkerBob CorkerSenators introduce resolution in support of Australia after Trump call Trump makes right turn on Iran Trump embraces his critics' outrage MORE (Tenn.) made phone calls to Joe Hockey, the Australian ambassador to the US, to voice their support of the alliance.

This disclosure puts a new complexion on the much-discussed call, which ended with Mr Trump describing it as "the worst call by far" of a series with national leaders, according to the Washington Post's account in details denied by neither government.

"I don't think there has ever been more public support for Australia than there has been his week", Turnbull said.

Before the White House confirmed last week that it will still go ahead, US President Donald Trump said on Twitter the agreement with Australia was a dumb deal.

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The teenager, who has spent more than three years of his short life on Nauru, feared that he would never be able to leave the island because the executive order would jeopardise a deal brokered by Australia with the previous Obama administration for the resettlement of refugees from Nauru and Manus Island in the United States. "This has been a very good week for Australia".

"It's amusing, but it's a bit offensive too, isn't it, that the White House spokesman doesn't bother to get your name right?" asked Oakes.

It simply requires that the United States allow refugees to express an interest in being resettled there.

Turnbull's desperate attempt to secure this deal shows he may understand the importance of getting the refugees out of where they are. "What now if the Trump Administration comes to you and says we want troops for some Middle Eastern adventure or we want ships in the South China Sea, do you now see yourself as indebted?"

"Absolutely not", Turnbull said.

"We assess all requests for military assistance on their merits".