Asia markets were mixed Friday afternoon, with the Japanese market climbing to an 11-month high on the back of a relatively weaker yen.
The yen traded at 110.68 at 1:50 p.m. HK/SIN, compared with levels below 105.00 prior to the U.S. election results.
After the meeting, Abe said he was confident of building trust with Trump when the latter takes office next year, but did not disclose the meeting's topics, saying the talks were unofficial, according to a Reuters report.
It's likely the future of the Trans Pacific Partnership (TPP) trade agreement, which has already been ratified in Japan, was on the agenda. On the campaign trail, Trump had vowed the U.S. would not ratify the 12-member agreement.
"Lack of details on the hour-long 'frank' discussions suggests that none of the uncertainties around TPP and U.S. engagement have been resolved," said Vishnu Varathan of Mizuho Bank in a note, adding the meeting was still a strong reflection of mutually important relations between Japan and the U.S.
"There is a sense that 'Abenomics' and 'Trump-onomics' need not be mutually exclusive," Varathan added.
Shares of major Japanese exporters climbed on Friday morning, with automakers Toyota up 2.68 percent, Nissan higher by 1.71 percent, Mazda up 3.77 percent and Honda gaining 0.98 percent. Electronics makers Sharp, Canon, Nikon and Sony retraced some of their morning gains to close mixed.
In South Korea, the Kospi closed down 5.97 points, or 0.30 percent, at 1,974.58. Heavy-weight Samsung Electronics beat the broader index to climb 1.15 percent. The Korean won traded at 1181.75 against the dollar at 1:53 p.m. HK/SIN, weakening from levels below 1140.00 before the U.S. election results.
Chinese mainland shares were lower in the late afternoon, with the Shanghai composite down 0.47 percent at 2:43 p.m. HK/SIN, while the Shenzhen composite fell 0.18 percent. In Hong Kong, the Hang Seng index was near flat.
Shanghai's property sub-index outperformed the broader market, climbing 0.92 percent in the afternoon, following government data that showed average new home prices in China's 70 major cities rose 12.3 percent on-year in October, a faster pace than the 11.2 percent on-year rise in September, reported Reuters.
Property plays in China were mixed in the afternoon session, with Shenzhen-listed shares of Vanke up 3.93 percent, Gemdale erasing gains to trade down 0.73 percent and Poly Real Estate climbing 1.83 percent.
In Australia, the ASX 200 closed up 20.86 points, or 0.39 percent, at 5,359.40, with the heavily-weighted financial sector finishing up 0.45 percent. The gold sector was down 3.17 percent, while the energy sector closed down 0.05 percent.
One analyst pointed out that markets, particularly in Asia-Pacific, needed to take stock of what could happen once Trump takes office next year.
"Markets have arrived at a point where they need to weigh the risks of being caught out by the potential stimulatory impacts of the Trump administration's policies against the risk of being caught by those policies not being implemented," said Ric Spooner, chief market analyst at CMC Markets, in a note.