A US federal judge on Friday put a nationwide block on Trump's order, although his administration could still have the policy put back into effect on appeal.
Bishop said "my understanding is that interviewing and vetting is still taking place", without providing any further details.
More than a dozen asylum seekers on both Nauru and Manus Island in Papua New Guinea, site of another Australian offshore detention camp, told Reuters they were afraid for their future since Trump said "extreme vetting" would be used and after his testy phone call with Australian Prime Minister Malcolm Turnbull.
Under the settlement deal, the U.S. will take refugees now held on Manus Island and Nauru in return for Australia accepting refugees from Central America.
Confusion around exactly what the United States president, Donald Trump, meant in saying the refugees would be subject to "extreme vetting" was the reason behind postponing the interviews, according to an unnamed source in the Reuters report.
The report even stated that the American President hung up the phone on the Australian Prime Minister - possibly a baseless rumour - which means that if nothing else, this call did not take the most friendly note. In return, Australia would take refugees from El Salvador, Guatemala and Honduras.
The people detained on the islands aren't immigrants; they are refugees, with legitimate reasons to apply for asylum.
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Detainees applying to settle in America under the deal had reportedly had their planned second-round interview dates with U.S. officials postponed indefinitely, Reuters reported. "It doesn't make sense for the U.S.to take them".
Despite his misgivings, Trump later agreed to honor the initial agreement, according to Turnbull and the White House Press Secretary, Sean Spicer.
According to the Australian government, around 80 percent of people in the offshore detention camps have been determined to be legitimate refugees.
On Saturday hundreds of protesters rallied in Sydney against Trump's immigration restrictions and Australia's offshore detention of asylum seekers. There was no specific timeline attached to the resettlement, and though United States officials have visited the camps to interview potential candidates, there's no clarity as to when these people would be able to leave the detention centers-that was even before Trump was going to study the agreement.
"The people Australia is holding on Manus Island and Nauru have been through enough".
"I can assure you the relationship is very strong", Turnbull said. Why should the U.S.be the moral compass of Australia?
Given that Australia isn't willing to take responsibility for them, it's hard to imagine the Turnbull government would put any actual pressure on the USA to adhere to the previously negotiated arrangement.