There was no specific timeline attached to the resettlement, and though U.S. 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 Australian government, which maintains a strict policy of not allowing anyone who tries to reach the country by boat to settle here, has never detailed the nationalities of the detainees but refugee advocates say most are from Iran, Iraq, Afghanistan, Pakistan, Somalia and Sudan.
While Australia accepted 13,756 refugees between 2014 and 2015, the country has cracked down on smugglers who illegally ferry asylum seekers to the nation by boat.
Mr Trump also publicly denounced the deal and labelled it "dumb" after clashing with Prime Minister Malcolm Turnbull on the issue. He said that even if Australia's refugee-swap agreement with the United States did proceed, it wouldn't provide for all the refugees at Nauru and Manus Island.
Obama's deal, which attracted little attention when the USA and Australia announced its terms, collided this week with the policies of the Trump administration, which just temporarily barred people from seven countries the Obama administration had designated as posing terrorism risks from entering the U.S.
Also on Thursday, Senate Judiciary Committee Chairman Chuck Grassley called on Trump's administration to make the details of the deal public, noting it was made without Congressional approval.
The version of the story that first came out talked about the acrimony that was established as a result of the disagreement between the two countries over the refugee deal. Turnbull replied with an affirmation of U.S. -Australia relations.
27 executive order halting all intake of refugees for 120 days, and indefinitely in the case of Syrian refugees, USA president Donald Trump carved out an exception for those determined to be accessing the country under "a preexisting global agreement".
"I can assure you the relationship is very strong", Turnbull said. The US wasn't negotiating the refugee resettlement the way a self-interested business would.
In the case of US-Australia however, the exact opposite has happened.
"The Australian people deserve to know the details of the arrangement, and what has been traded away to get it done", he said.
Refugees who arrive by sea have been banned from Australia, and are instead sent to the offshore centers.
The processing centers have become a humanitarian stain on Australia's government.