White House Press Secretary Sarah Huckabee Sanders said that Presidents Donald Trump and Mauricio Macri met Friday and "reiterated their shared commitment" to face challenges including "predatory Chinese economic activity".
The G20 Summit offered Mr Morrison a final opportunity to take soundings with world leaders on his review of the position of Australia's embassy in Israel and whether it should be shifted to Jerusalem, as the Trump administration is doing.
The G20 accounts for two-thirds of the world population and is widely credited with avoiding a major global calamity after the 2008 financial crisis.
With nationalist sentiments rising in multiple countries, the G20 is being forced to questions how to deal with trade tensions that have caused disturbances in the global market.
On the line is the future of global trade, with a positive meeting likely seeing a deescalation of the trade conflict between the two countries, and a negative one threatening to see the start of a full blown trade war.
On the G20 margins, Trump scored one victory for his "America First" agenda with the signing of a successor to the North American free trade pact NAFTA, the US-Mexico-Canada Agreement (USMCA).
US stocks closed higher on Friday on hopes that a deal could be reached. "I do not think there was a reference in those terms", Faurie told reporters earlier on Friday, adding that the meeting was handled in a cordial way.
"I think there's probably no time in our history when we're closer, and I'll be going to a tremendous event in Japan", said Trump. "We'll see", he said.
During a meeting with Xi in the capital of Argentina, Abe said he hopes that the US and Chinese leaders will have a fruitful discussion, according to the Japanese official.
Xi hopes to persuade Trump to abandon his announced plan to increase tariffs on US$200 billion of Chinese goods to 25% in January, from 10% at present.
He also threatened tariffs on $267bn of other Chinese exports to the US. The United States and China are locked in a dispute over their trade imbalance and Beijing's push to challenge American technological dominance. He pointed out a diminished trade deficit between the US and Japan.
Xi and other leaders from the BRICS group of leading emerging economies - Brazil, Russia, India, China and South Africa - issued a statement calling for open worldwide trade and a strengthening of the World Trade Organization (WTO).
Russian President Vladimir Putin, under pressure himself after his security forces seized three Ukrainian ships, set the tone for a combative two days by condemning the "vicious" use of sanctions and trade protectionism.
Also looming large amid dozens of bilateral meetings in Buenos Aires: the gruesome slaying of dissident Saudi journalist Jamal Khashoggi in Saudi Arabia's Istanbul consulate and how the Saudi crown prince, who is alleged to have ordered the killing, is received by world leaders.
US intelligence agencies have concluded that the 33-year-old crown prince ordered the killing of Jamal Khashoggi, a USA -based Washington Post columnist and critic of Saudi Arabia's establishment, at the Saudi Consulate in Istanbul on October 2.