Focus will turn today to the Koreas, when Trump could meet the North's leader, Kim Jong-un, having extended and invitation to "shake his hand and say Hello (?!)" in a tweet on Saturday.
"If this Trump-Kim meet-up is going to happen, there are two things Trump can do to make it meaningful beyond a photo op or a reality TV moment", Suzanne DiMaggio of the Carnegie Endowment wrote.
"I just put out a feeler because I don't know where he is right now", Trump said to reporters at the Imperial Hotel Osaka in Japan.
Her comments suggested that North Korea is willing to accept Trump's idea if it gets a formal USA offer for the meeting, according to some observers in Seoul.
The bi-cultural selection of dishes symbolized the "collaboration and harmony" between South Korea and the US, Seoul's presidential office said.
Trump's last summit meeting with Kim collapsed when the two sides could not agree on terms for curbing North Korea's nuclear program in exchange for sanctions relief.
Victor Cha, a senior adviser at the Center for Strategic and International Studies in Washington, said he expects South Korea's government will now work on getting Kim to show up and meet Trump.
The invitation carried some of the hallmarks of Trump's past meetings with Kim, namely the heightened drama and spectacle over whether the meeting would take place. "That's what's called a real border".
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Trump said he and Kim "seem to get along, adding that, "If he's there we'll see each other for two minutes".
South Korea's Blue House issued a tweet reporting that Trump spoke briefly with Moon and asked if he had seen the tweet.
"We were shutting off their sources of revenue, we were shutting down the slave labor that North Korea sends out and earns revenue from", Gardner said.
"We can not simply say that if (Kim) were to get rid of nuclear programs, that's enough". The two leaders then took a stroll around the office complex and shared cocktail drinks together before holding a dinner meet at Sangchunjae pavilion, a lovely structure modelled after a traditional Korean house, according to the news report.
Trump also told reporters that his diplomacy has led to a detente with North Korea, which has stopped testing long-range missiles but continued with short-range missile tests.
"When you talk about a wall, talk about a border, that's what they call a border", said Trump, who is trying to build a wall along the US southern border with Mexico.
Their first summit in Singapore in June past year ended with Kim's promise to work toward complete denuclearization of the Korean Peninsula.
Trump's offer isn't that unprecedented. He is scheduled to return to Washington on Sunday.