The October 20 bilateral with the US President in Washington was confirmed by Mr Albanese during a doorstop on the sidelines of the United Nations General Assembly meeting in New York.
The confirmation came as Australia's Ambassador to the US Kevin Rudd earlier told those attending a speech by Mr Albanese in New York that it was on.
"We were delighted to have the White House confirm this morning that the PM will be back in the United States on the 20th of October to meet with the President of the United States in Washington DC," he said while introducing Mr Albanese at the event hosted by Macquarie Group.
The prime minister has been battling for formal face time against other world leaders after missing out on a hoped-for meeting with Mr Trump during the UN leaders gathering.
In the meantime, Mr Albanese could get a quick hello with Mr Trump when he attends a reception hosted by the president and First Lady Melania Trump on Wednesday morning (AEST) on the sidelines of the UN gathering.
Australia was left off the president's official schedule this week, which includes bilateral meetings with the leaders of Ukraine, Argentina, Egypt, Pakistan and Turkey.
Some analysts had suggested the federal government's decision to formally acknowledge Palestine may have contributed to this week's snub.
Others said it might have been a blessing in disguise.
Meetings with Mr Trump were often transactional and coercive, which could be risky for Mr Albanese, Perth USAsia Centre chief executive Gordon Flake said.
"With the world on fire, I think there are other bigger priorities we have than just a one-on-one with President Trump," Professor Flake told AAP.
"I understand anxiety about ... not yet having a leader-to-leader summit, but at the same time, if you begin to ask the question 'what do you want from the summit', I think we're in a pretty good position.
"There's no abiding, immediate crisis that we're trying to solve."
At the Macquarie event, Mr Albanese showcased Australia to global investors, focusing on Labor's multi-billion-dollar suite of "future made in Australia" policies.
Mr Albanese also might brush past Mr Trump at next month's APEC and ASEAN summits in South Korea and Malaysia, respectively.
The opposition had been highly critical of the prime minister's failure to secure a meeting with the US president, givne the pair have important issues to discuss such as Mr Trump's sweeping tariffs and the AUKUS nuclear submarine deal.
"It's not good that over 30 world leaders have had physical, face-to-face meetings with the US president and our prime minister hasn't," opposition trade spokesman Kevin Hogan told AAP on Tuesday.