"Trumpian rhetoric to "totally destroy" North Korea is not helpful at a time when, alarmingly, the likelihood of all-out war on the Korean Peninsula has moved from remotely possible to nearly palpable", William Choong and Alexander Neill, senior fellows at the International Institute for Strategic Studies, wrote in a report.
Free nations must be strong nations and the United States welcomes their allies' renewal of their commitments to peace through strength, the president said.
Abe presented Trump with a new hat with a message printed in a similar style of his famous campaign slogan.
The White House also signaled that Trump could decide on this trip to designate North Korea a state sponsor of terrorism, a largely symbolic move since it is already among the world's most heavily sanctioned countries.
However, Trump's forceful rhetoric is not expected to receive such a warm welcome in other countries he is scheduled to visit.
Trump denied being at a disadvantage when reporters noted on Sunday that Xi was in a particularly powerful position.
Ballistic missile tests by North Korea and its sixth and largest nuclear test, in defiance of U.N. Security Council resolutions, have exacerbated the most critical global challenge of Trump's presidency.
Before he faces Putin in the Vietnamese seaside city of Da Nang, Trump will have visited three Asian capitals on his North Korea diplomacy mission. It will be his first official visit to Asia. Trump dubbed Abe and Matsuyama "wonderful people", while Abe called it a "round of golf with a marvelous friend".
The outing was reciprocation for rounds that Trump hosted in Jupiter, Florida, and nearby West Palm Beach in February for Abe and Ernie Els, once the world's top golfer.
USA first lady Melania Trump, second from right, and her Japanese counterpart Akie Abe, third from right, listen to sales manager Hajime Fukuju, left, during their visit to Mikimoto Ginza Main Store, Japan's pearl jewelry maker, at Ginza shopping district in Tokyo Sunday, Nov. 5, 2017.
Mr Abe has recently won a massive victory in a snap election and he has supported Mr Trump in his pressure on North Korea, the region's major problem. During their first meeting in July, Trump did raise the issue of Russia's interference, though since then he's called the notion that Russian Federation worked to sway the vote in his favor a hoax. Abe will be looking for a united front against North Korea and reassurances that the USA will stand by its treaty obligations to defend Japan if attacked.
The Trumps tossed white flower petals into the waters at the memorial in honor of those who died at Pearl Harbor.
"I think they're great people". President Trump arrived in Japan Sunday on a five-nation trip to Asia, his second extended foreign trip since taking office and his first to Asia. He says: "I am landing shortly".
The already extensive trip grew longer still Friday when Trump abruptly announced to reporters that he would attend the East Asia Summit in Manila on November 14, adding a day to his travels. He will kick off with an event at Yokota Air Base.
The president plans additional meetings with Abe on Monday in a more formal setting and plans to participate in a joint press conference. He's set to make his case to Asian allies and rivals about the need to counter North Korea's nuclear threat.
Tensions have escalated between the U.S. and Kim Jong-un's regime after a series of reckless missile tests.
Joined by his wife Melania on part of the trip, Mr. Trump's tour of Asia is the longest by an American president since George H.W. Bush in 1992.