The dollar index, which tracks the greenback against a basket of six trade-weighted peers, fell 0.6 percent to 100.07. US Treasury yields slid to 2.232 percent, just slightly above a five-month low of 2.221 hit earlier in the session.
European stocks look set for a muted start, with financial spreadbetters expecting Britain's FTSE 100 and Germany's DAX to ease 0.1 percent, and France's CAC 40 was seen steady.
MSCI's broadest index of Asia-Pacific shares outside Japan was up about 0.6 percent.
Japan's Nikkei closed down 0.7 percent.
Australian stocks retreated 0.75 percent on declines in the materials and energy sectors, shrinking gains for the week to 0.45 percent, despite a surge in employment in March, and an jobless rate that remained at 5.9 percent.
Chinese shares rose 0.1 percent, while Hong Kong stocks added 0.2 percent.
Most markets in the region will be closed on Friday for the Good Friday public holiday.
Escalating fears of a new weapons test by North Korea kept investors on edge, as a US carrier group sails towards the area. Foreign journalists visiting the isolated state were told to prepare for a "big and important event" on Thursday.
The North Korea-related tensions have sent the cost to protect South Korean government debt against default soaring to 9 1/2-month highs.
But Korean stocks were up 0.8 percent and the Korean won tacked on 0.6 percent after the central bank kept its policy rate unchanged at 1.25 percent for a 10th straight month on Thursday as expected, and upgraded its growth outlook.
The yuan rose 0.2 percent as the dollar wilted after Trump said the greenback is getting too strong and that would eventually hurt the US economy.
In an interview with The Wall Street Journal, Trump also said he would like to see US interest rates stay low.
The president didn't rule out re-nominating Fed Chair Janet Yellen once her four-year term is up next year.
"Trump's comments came at a time when some had begun to think that perhaps the president was not as supportive of a weak dollar as initially perceived," said Shin Kadota, senior strategist at Barclays in Tokyo.
China's trade surplus with the US, the size of which has also been a point of contention for Trump, widened in March from February, customs data showed on Thursday.
China's overall trade surplus also rose in March after logging its first deficit in three years in February.
The data came amid a warming of relations between China and US, with Trump backing away from labeling China a currency manipulator in an interview with the Wall Street Journal.
Trump said labeling China a currency manipulator now would hurt talks with Beijing on dealing with North Korea's threats.
"The change in policy should certainly ease concerns over the protectionist stance of the Trump administration that should benefit emerging markets in general," James Woods, global investment analyst at Rivkin in Sydney, wrote in a note.
"However it also continues to raise doubts about the administration's ability to deliver on campaign promises, which include the all-important pledge for tax reform."
The dollar pared earlier losses to rise slightly to 109.07 yen, after touching a five-month low earlier in the session. It is down 1.8 percent so far this week.
In commodities, oil prices fell on concerns about rising US output.
US crude slipped 0.1 percent to $53.05 a barrel, extending Wednesday's 0.5 percent loss that saw it break a six-session winning streak.
Global benchmark Brent was slightly lower at $55.84, failing to make up any of Wednesday's 0.7 percent loss.
Gold pared earlier gains but hovered near a five-month high hit earlier in the session. The precious metal was down about 0.1 percent at $1,283.71 an ounce.