TOKYO (Reuters) - U.S. President Donald Trump warned foreign governments they would have to pay "a lot of money" to lift sweeping tariffs, characterising the duties as "medicine" and triggering further carnage across global financial markets on Monday.

Asian stocks posted steep losses in early trading and U.S. stock market futures opened sharply lower as investors registered concerns that Trump's tariffs could lead to higher prices, weaker demand, lower confidence and potentially a global recession. 

Speaking to reporters aboard Air Force One on Sunday, Trump indicated he was not concerned about losses that have already wiped out trillions of dollars in value from share markets around the world.

"I don't want anything to go down. But sometimes you have to take medicine to fix something," he said as he returned from a weekend of golf in Florida.

Trump said he had spoken to leaders from Europe and Asia over the weekend, who hope to convince him to lower tariffs as high as 50% due to take effect this week.

"They are coming to the table. They want to talk but there's no talk unless they pay us a lot of money on a yearly basis," Trump said.

Trump's tariff announcement last week jolted economies around the world, triggering retaliatory levies from China and sparking fears of a global trade war and recession.

Investors and political leaders have struggled to determine whether Trump's tariffs are here to stay, or part of a permanent new regime or a negotiating tactic to win concessions from other countries.

On Sunday morning talk shows, Trump's top economic advisers sought to portray the tariffs as a savvy repositioning of the U.S. in the global trade order.

Treasury Secretary Scott Bessent said more than 50 nations had started negotiations with the U.S. since last Wednesday's announcement. Commerce Secretary Howard Lutnick said on CBS News' 'Face the Nation' the tariffs would remain in place "for days and weeks."

Japan, one of Washington's closest allies in Asia, is among countries hoping to strike some deal but its leader Shigeru Ishiba said on Monday results "won't come overnight".

Investors, however, are not hanging around.

As Ishiba spoke in parliament, Tokyo's Nikkei cratered to a 1-1/2-year low, led by stocks in the country's banks - some of the biggest lenders by assets globally - which have shed almost a quarter of their market value over the last three trading days.

The broad market sell-off seen on Monday comes as investors wagered that the mounting risk of recession could see U.S. interest rates cut as early as May.

White House economic adviser Kevin Hassett sought to tamp down concerns that the tariffs were part of a strategy to pressure the U.S. Federal Reserve to lower interest rates, saying there would be no "political coercion" of the central bank.

JPMorgan economists now estimate the tariffs will result in full-year U.S. gross domestic product declining by 0.3%, down from an earlier estimate of 1.3% growth, and that the unemployment rate will climb to 5.3% from 4.2% now.

Billionaire fund manager Bill Ackman, who endorsed Trump's run for president, said Trump was losing the confidence of business leaders and warned of an "economic nuclear winter" unless he called a time out. 

TARIFF DEALMAKING

U.S. customs agents began collecting Trump's unilateral 10% tariff on all imports from many countries on Saturday. Higher "reciprocal" tariff rates of 11% to 50% on individual countries are due to take effect on Wednesday at 12:01 a.m. EDT (4:01 a.m. GMT).

Some other governments have already signaled a willingness to engage with the U.S. to avoid the duties.

Taiwan's President Lai Ching-te on Sunday offered zero tariffs as the basis for talks with the U.S., pledging to remove trade barriers and saying Taiwanese companies will raise their U.S. investments.

Israeli Prime Minister Benjamin Netanyahu said he would seek a reprieve from a 17% tariff on the country's goods during a planned meeting with Trump on Monday.

An Indian government official told Reuters the country does not plan to retaliate against a 26% tariff and said talks were under way with the U.S. over a possible deal.

In Italy, Prime Minister Giorgia Meloni - a Trump ally - pledged on Sunday to shield businesses that suffered damage from a planned 20% tariff on goods from the European Union.

Italian wine producers and U.S. importers at a wine fair in Verona on Sunday said business had already slowed and feared more lasting damage.

Vietnamese leader To Lam agreed in a phone call with Trump on Friday to discuss a deal to remove tariffs after the Southeast Asian manufacturing hub was slapped with some of the highest duties globally.

Trump called the discussion "very productive".

(Reporting by Trevor Hunnicutt, Jarrett Renshaw, Daphe Psaledakis, Steve Holland, Douglas Gillison, Ted Hesson, Kanishka Singh and Susan Heavey in Washington; Tom Westbrook in Singapore; Ben Blanchard in Taipei; Sara Rossi in Verona, Italy; Khanh Vu and Francesco Guarascio in Hanoi; and Shivangi Acharya and Aftab Ahmed in New Delhi; Writing by Andy Sullivan and John Geddie; Editing by Lincoln Feast.)