Trump pulled the US from the pact but the remaining 11 members pressed ahead, saying they were showing resolve against protectionism through global trade.
The trade deal, which the European Union called its biggest ever, must still be signed and ratified by both sides who first agreed to its broad outlines in July.
Trade ministers of 11 Pacific Rim countries say they agreed on the core elements of the Comprehensive and Progressive Agreement for Trans-Pacific Partnership that the US abandoned in January under Trump.
President Donald Trump is likely to push for his "America First" doctrine while his Chinese counterpart Xi Jinping is expected to send positive signals supporting free trade during the Asia Pacific Economic Cooperation (APEC) forum in Vietnam.
"The US has suffered massive trade deficits with Japan for many, many years. So we will have to negotiate and we will do this in a friendly way," US president says.
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