Secretary of State Rex Tillerson said Friday he can envision the USA and North Korea agreeing to hold talks at some point as a precursor to formal negotiations.
The visit, which will include stops at the Association of Southeast Asian Nations (ASEAN) and East Asia summits, comes at the end of the President's five-country, 13-day visit to Asia.
Philippine President Rodrigo Duterte will host world leaders in Manila from Sunday, hoping their presence will quieten worldwide criticism over his deadly drugs war, which rights groups say may be a crime against humanity.
Riot police used water canon to prevent hundreds of protesters reaching the USA embassy in Manila on Sunday, just a few hours before the arrival of President Donald Trump in the Philippines for a regional summit and the last leg of his Asia tour.
The two met on the sidelines of the Asia-Pacific Economic Cooperation (APEC) summit in the Vietnamese resort city of Danang.
"If I can help mediate or arbitrate, please let me know", Trump said at a meeting with Vietnam's president, Tran Dai Quang. "What the hell? For me, they can add to that, make it 50,000". ASEAN meets with China and the US early in the week ahead of a joint meeting with the leaders of nations including the US, China, Japan, Australia, India and Russian Federation. Trump told Duterte in a telephone call in April that he was doing a "great job" with his campaign against drugs.
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Hours after being sworn in as Philippine president, Duterte goes to a Manila slum and urges residents to kill drug-addled neighbours.
Vietnam and the U.S. have grown increasingly close in recent years as both countries fear Chinese ambitions in the South China Sea.
Duterte also said he "might" raise the issue of the South China Sea dispute with Trump, alongside trade, Islamic extremism and terrorism, according to a statement.
The ASEAN has been pushing for a legally binding code of conduct for all stakeholders in the South China Sea but Beijing has opposed such a framework asserting it will resolve the dispute with respective countries under a bilateral mechanism.
"And although I would suppose it would be safe to assume that the discussion on West Philippine Sea will take place because in the remark of the US President, he also said that the interest of the United States is to maintain freedom of navigation "in crucial waterways", Roque said.
Leaders at the Philippines summit will discuss the South China Sea, but mainly to agree on a procedural step to cool tensions. The country claims a huge swathe of the South China Sea.