Regional equities tanked and the yuan plunged Monday in response to news at the weekend that Washington would hike tariffs on more than half-a-trillion dollars of Chinese imports after Beijing unveiled levies on tens of billions of US goods.
Trump's call for US firms to pull out of China and comments about not needing the country added to the sense of dread that the trade war would deepen and run for some time.
However, investors who had run to the hills in the morning returned in later trade after he said in a G7 news conference in France that negotiations would resume very soon and Beijing had telephoned saying it wanted to strike a deal.
He later described the talks as "more meaningful than at any time", while China's top negotiator called for calm and said he opposed any escalation in the stand off.
While the remarks were too late to fuel a meaningful recovery in Asia, stocks in Europe and the US rallied.
But in early trade Tuesday, Shanghai and Tokyo were up more than one percent, Sydney put on 0.3 percent and Seoul added 0.8 percent. Hong Kong added 0.1 percent.
Singapore, Wellington, Taipei and Jakarta were also up.
There was also a pick-up in higher-yielding, riskier assets such as the South Korean won, South African rand and Australian dollar, with gold -- a go-to in times of turmoil -- slightly down.
- 'In thrall to the president's comments' -
The yen edged up Tuesday but gave up most of the previous gains and the yuan remained under pressure, wallowing around an 11-year low.
"It is not clear in what context that phone call was made," said Stephen Innes at Valour Markets. "Indeed, a spokesperson for the Chinese foreign ministry indicated he was 'not aware of' the call.
"However, does it matter if the call happened? The fact that President Trump is striking a more conciliatory tone is what's essential for market sentiment.
"It's possible both sides needed to push the trade envelope to unbearable proportions, and maybe that's what was required all along for cooler heads to prevail."
While trading floors are broadly upbeat, analysts warned markets could flip at any time, driven by headlines from the White House.
Wall Street is "in thrall to the president's comments, with financial markets doing abrupt changes of direction on his words", OANDA senior market analyst Jeffrey Halley said.
"Being the source of so much of the global volatility in the financial markets, it is logical that his comments, flippant or otherwise, would have an outsized effect."
Oil prices rose slightly, having dipped the day before on a sliver of hope in US-Iran relations after Trump said he was prepared to meet Iranian counterpart Hassan Rouhani in the next few weeks after talks over Tehran's nuclear programme at the G7 summit.
Tensions between the two have helped support crude, offsetting worries about demand for the commodity caused by the trade row and slowing global growth.