The prime minister left the United Nations' COP31 summit in Turkey on Friday night, Australia time, and headed to the ASEAN Summit in the Philippines.
He is expected to attend the signing of a major new defence pact with the Philippines on Sunday and visit Australian Defence Force personnel aboard HMAS Stalwart, which is docked at the Port of Manila.
The pact will see enhanced maritime awareness and activities, information-sharing, strategic dialogue, planning, training, interoperability, and defence infrastructure development.
Mr Albanese's visit is the latest in an 11-day international tour, which will culminate with an appearance at the APEC Forum in the Chinese technology hub of Shenzhen.
The prime minister is expected to host discussions about regional security and fuel supplies at the ASEAN Summit in Manila on Monday.
He could also meet with members of the Quad, which includes the US, Japan and India.
Mr Trump is confirmed to attend the event on Tuesday, which will also host recently re-elected president Brazilian Luiz Inacio Lula da Silva and Canadian Prime Minister Mark Carney.
The US and Australian leaders could meet as many as three times during the ASEAN and APEC events after last taking a selfie in September at the United Nations General Assembly in New York.
Australia has played a role in ASEAN, or the Association of Southeast Asian Nations, since joining as a dialogue partner in 1974, and hosted the event in 2024.
The visit comes after a packed three-day schedule at COP31 climate talks in Turkey, where Mr Albanese addressed the opening of the leaders' summit segment of the annual event.
He also hosted roundtables with Pacific leaders and Australian clean energy businesses, and held bilateral talks with nations including the UK, Lebanon, Bangladesh and Norway.
The Australian government faced widespread criticism from environmental groups and activists at the summit for failing to address the nation's position on fossil fuels while calling for action to limit global warming.
Climate Change Minister Chris Bowen will remain at COP31 as head of negotiations and will issue a cover decision with the event's president, Turkish Environment Minister Murat Kurum, at its end on November 20.
Mr Albanese and Mr Bowen also attracted unwanted attention after microphones caught them privately joking between meetings in Antalya about mobile phone radiation and genitalia.
Defence cooperation is a key pillar of Australia's relationship with the Philippines.
Some 2500 to 3000 ADF personnel train with the Asian nation's armed forces each year.
The two nations have conducted multiple joint maritime security operations and training exercises in 2026, with more to come in 2027.
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