Trump spoke to the press at dinner, explaining that he spent a lot of time talking about North Korea and trade.
Kremlin spokesman Dmitry Peskov had earlier acknowledged there was now no co-operation between Russian Federation and USA on North Korea. "And I don't think we've ever been closer to Japan than we are right now". "Only periodic exchanges of views", he said.
White House officials said Mr Trump has spoken with Mr Abe by phone more than any world leader, aside from British Prime Minister Theresa May.
Abe told reporters after the golf session that the two could talk frankly in a relaxed atmosphere while out on the course.
The most likely venue for a meeting would be an Asian economic summit in Vietnam next week.
It comes as Trump sets off on a whirlwind tour of Asia to discuss North Korea's nukes with diferent leaders.More news: Leonard Fournette inactive for Jaguars after violating team rule
Meetings with Japanese Prime Minister Shinzo Abe come against a backdrop of heightened tensions over Pyongyang's nuclear and missile tests.
"No one - no dictator, no regime and no nation - should underestimate, ever, American resolve", Trump told US and Japanese troops, assembled inside a flag-draped aircraft hangar at the Yokota Air Base in Tokyo.
He urged Trump to pursue a peaceful solution by supporting those within North Korea to oppose Kim Jong Un.
"Today we pay tribute to that legacy - a legacy you protect and grow each and every day", he said.
"We will never yield, never waver and never falter in defence of our people, our freedom and our great American flag".
"Free nations must be strong nations and we welcome it when our allies - from Europe to Asia - renew their commitment to peace through strength", Trump told service members, after swapping his suit coat for a leather bomber jacket.More news: HTC U11+ is Official, looks absolutely incredible with bezel-less display
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.
President Donald Trump, center, waves as Japanese Prime Minister Shinzo Abe, right, and he finish playing golf at Kasumigaseki Country Club, Sunday, Nov. 5, 2017, in Kawagoe, Japan.
He said decision would be made soon on whether to add reclusive North Korea to a list of state sponsors of terrorism but warned his administration planned to take a different approach after years of what he termed "total weakness".
"The president will use whatever language he wants to use, obviously", McMaster said. It's a big problem for our country and the world, and we want to get it solved.
"And I hope it all works out for everybody".More news: Saudi Arabia intercepts missile fired at airport