Speculation continues to swirl over whether Prime Minister Anthony Albanese will meet with US President Donald Trump in the US this week after the former stopped short of guaranteeing more than a passing greeting.

Albanese is in the US for the United Nations General Assembly, and has already stirred up the diplomatic waters by fulfilling a pledge to recognise a Palestinian state , in the face of anger from Israel.

Speaking on Today , Albanese said "we'll wait and see" when asked where there was a guarantee he and Trump would meet in the coming days.

"It's a busy time here," Albanese said.

Trump is currently in Arizona to attend a memorial for slain right-wing activist Charlie Kirk .

"I'll be seeing (Trump) tomorrrow night at the event that he is hosting

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