But Trump later suggested there was one area where he and Abe would have to agree to disagree: the Trans-Pacific trade partnership, which Trump pulled the US out of days after his inauguration, but has recently said he might be open to re-joining.

“While Japan and South Korea would like us to go back into TPP, I don’t like the deal for the United States,” Trump tweeted, following a dinner with Abe and their wives.

“Too many contingencies and no way to get out if it doesn’t work. Bilateral deals are far more efficient, profitable and better for OUR workers.”

The two-day Trump-Abe summit played out amid growing tensions between the two countries over North Korea and trade.

Japan has warned that Kim may simply be trying to buy time and has raised concerns that the US might not press Kim to abandon his short and medium-range missiles, which pose an immediate threat to Japan, as they discuss the country’s nuclear weapons programme.

Japan has also been questioning why it wasn’t granted exemptions to Trump’s protectionist measures on steel and aluminium when most other key US allies – among them Australia, Canada, the European Union and Mexico – have been.

But Abe spent much of Tuesday praising Trump’s courage for agreeing to meet and suggested the two had already come to terms on several contentions issues.

Speaking through a translator during one of their meetings, Abe said he and Trump had “very in-depth discussions” on both North Korea and economic issues and said that “on those two points” they had “successfully forged a mutual understanding.”

The two did not reveal what those agreements were, but Abe had been expected to urge to Trump to exempt Japan from the tariffs and press him on the missile issue.

Larry Kudlow, the director of the National Economic Council, had said earlier Tuesday that issuing Japan the waiver was “on the table,” but he declined to say what Trump would ask for in return.

Trump took to Twitter Wednesday and said the meeting: “Went very smoothly and a good relationship was formed”.

“They do have my blessing to discuss the end of the war,” Trump said.

Trump said five locations for the summit are under consideration.

Trump took credit for the inter-Korean talks, saying: “Without us and without me, in particular, I guess you would have to say, they wouldn’t be discussing anything.”

Abe’s official visit began Tuesday afternoon as an honour cordon of uniformed service members lined the palm-fringed drive to the club. Trump greeted Abe at the red-carpeted door of the mansion as the pair posed for photos ahead of a one-on-one meeting and a group discussion with national security officials about the Kim summit. The president and first lady Melania Trump later hosted Abe and his wife for an alfresco dinner on the Mar-a-Lago patio.

On Wednesday, the agenda will broaden to include other issues affecting the Asia region, including trade and energy, and Trump said he and Abe would “sneak out” to play a round of golf.

Abe said that Trump had promised to bring up the Japanese abductee issue in his meeting with Kim. “I am very grateful for your commitment,” he told Trump.

Pyongyang has acknowledging abducting 13 Japanese, while Tokyo maintains North Korea abducted 17. Five have been returned to Japan.

North Korea says eight others died and denies the remaining four entered its territory. Japan has demanded further investigation.

The US itself is pushing for the release of three Americans.

After five years in office, Abe is one of Japan’s longest-serving prime ministers but has suffered plummeting poll ratings over allegations that a school linked to his wife received preferential government treatment in a land sale.

Associated Press, Agence France-Presse, The Washington Post