In a briefing, White House Press Secretary Karoline Leavitt did not mention Australia when reading out a rundown for the bilateral talks Mr Trump plans to hold in New York after he arrives on Tuesday (AEST).
The government has been trying to secure the first face-to-face between the pair, after an earlier meeting planned on the sidelines of the G7 meeting in Canada in June was cancelled because of escalating violence between Israel and Iran.
The hiccup comes after the prime minister announced late on Sunday that Australia, alongside its allies Canada and France, had recognised the state of Palestine.
Asked about the recognition of Palestinian statehood by US allies, Ms Leavitt told reporters that Mr Trump "has been very clear he disagrees with this decision".
"He feels this does not do anything to release the hostages, which is the primary goal right now in Gaza," she said.
"It does nothing to end this conflict and bring this war to a close, and frankly he believes it is a reward to Hamas.
"He believes these decisions is just more talk and not enough action from some of our friends and allies, and I think you'll hear him talk about that tomorrow at the UN."
Mr Trump is due to address the United Naton's General Assembly in New York on US power around the world and his administration's achievements.
Opposition Leader Sussan Ley said Australia had a "long shopping list of issues" that needed to be discussed with Mr Trump, including tariffs on Australian goods and the $368 billion nuclear-submarine deal under the three-nation AUKUS partnership.
"We need the meeting," she told Nine's Today program on Tuesday.
"We need it to be calm, we need it to be considered, and we need our prime minister to be there, standing up for our national interest."
The prime minister's office is yet to respond, but cabinet minister Amanda Rishworth skirted the issue saying Australia has a "very close diplomatic relationship" with the US.
"He's had a number of phone calls with the president and ... as he's described them they've been warm, they've been good conversations," she told Nine.
But Liberal senator Andrew Bragg was more direct, saying "Australia has been treated like a piece of dirt by this administration" under Labor.
"Perhaps sending (Kevin Rudd to the US as ambassador) was actually not in Australia's interests, and also the way that Mr Albanese has conducted his diplomacy, he's also been a disaster," he said.
"We're being punished, frankly, and it's now very embarrassing."
If Mr Albanese does miss out on a bilateral meeting with Mr Trump, he may have a chance to speak with him at least briefly at a world leaders' reception on Wednesday (AEST).
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