Anthony Albanese and Donald Trump have greeted each other at the US president's welcome reception for world leaders attending the United Nations General Assembly.

The prime minister and Mr Trump came face-to-face after Mr Albanese arrived at the evening event in New York with fiancee Jodie Haydon on Wednesday (AEST).

No media were allowed access at the exclusive gathering but Mr Albanese posted a photo of the pair to his Instagram just before 3am New York time.

About 145 leaders and their partners lined up for hours to get a picture with Mr Trump and First Lady Melania Trump.

Earlier, a formal sit-down was locked in for the pair following months of speculation and several phone conversations between the two leaders.

During a press conference on the sidelines of the UN meeting, Mr Alba

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