After a period of relative calm on the tariff front, Donald Trump at the weekend accused Beijing of violating last month's deal to slash huge tit-for-tat levies and threatened to double tolls on steel and aluminum.

The moves jolted Asian markets on Monday, but hopes that the US president will speak with Chinese counterpart Xi Jinping -- possibly this week -- has given investors some hope for a positive outcome.

Meanwhile, oil prices extended Monday's surge on a weak dollar and Ukraine's strike on Russian bombers parked deep inside the country that stoked geopolitical concerns as well as stuttering US-Iran nuclear talks.

Trump has expressed confidence that a talk with Xi could ease trade tensions, even after his latest volley against the Asian superpower threatened their weeks-old tariff truce.

"They violated a big part of the agreement we made," he said Friday. "But I'm sure that I'll speak to President Xi, and hopefully we'll work that out."

It is unclear if Xi is keen on a conversation -- the last known call between them was in the days before Trump's inauguration in January -- but the US president's economic adviser Kevin Hassett signaled on Sunday that officials were anticipating something this week.

US Treasury Secretary Scott Bessent -- who last week warned negotiations with China were "a bit stalled" -- said at the weekend the leaders could speak "very soon".

Officials from both sides are set for talks on the sidelines of an Organisation for Economic Co-operation and Development (OECD) ministerial meeting in Paris on Wednesday.

While there has been no movement on the issue, investors took the opportunity on Tuesday to pick up recently sold shares.

Hong Kong gained more than 1 percent while Shanghai returned from a long weekend on the front foot.

There were also gains in Tokyo, Sydney, Wellington, Singapore, Taipei and Manila. 

Seoul was closed for a presidential election.

The advances followed a positive day on Wall Street led by tech giants in the wake of a forecast-beating earnings report from chip titan Nvidia.

Still, National Australia Bank's Rodrigo Catril remained nervous after Trump's latest salvos.

"The lift in tariffs is creating another layer of uncertainty and tension," he wrote in a commentary.

"European articles suggest the lift in tariffs doesn't bode well for negotiations with the region [and] UK steelmakers call Trump doubling tariffs 'another body blow'," he added.

"The steel and aluminum tariffs also apply to Canada, so they will likely elicit some form of retaliation from there and while US-China trade negotiations are deteriorating due to rare earth, student visas and tech restrictions, steel tariffs will also affect China."

Separately, US Commerce Secretary Howard Lutnick on Monday voiced optimism for a trade deal with India "in the not too distant future", adding that he was "very optimistic".

And Japanese trade point man Ryosei Akazawa is eyeing another trip to Washington for more negotiations amid speculation of a deal as early as this month.

Also in focus is Trump's signature "big, beautiful bill" that is headlined by tax cuts slated to add up to $3 trillion to the nation's debt.

Senators have started weeks of what is certain to be fierce debate over the mammoth policy package, which partially covers an extension of Trump's 2017 tax relief through budget cuts projected to strip health care from millions of low-income Americans.

Oil prices extended Monday's surge that saw West Texas Intermediate briefly jump five percent on concerns about an escalation of the Russia-Ukraine conflict and suggestions Washington could hit Moscow with stricter sanctions.

That compounded news that the OPEC+ producers' grouping had agreed a smaller-than-expected increase in crude production.

Traders were also monitoring tensions over Iran's nuclear program after Tehran said it would not accept an agreement that deprives it of what it calls "peaceful activities".