Officials from Canada, Mexico and China have warned US President-elect Donald Trump's pledge to impose sweeping tariffs on America's three largest trading partners could upend the economies of all four countries.

"To one tariff will follow another in response and so on, until we put our common businesses at risk," Mexico's President Claudia Sheinbaum said on Tuesday.

Trump vowed to introduce 25% tariffs on goods coming from Mexico and Canada and an additional 10% on goods coming from China in a bid to clamp down on drugs and illegal immigration.

Canada's Prime Minister Justin Trudeau said he spoke to Trump in the hours after the announcement and planned to hold a meeting with Canada's provincial leaders on Wednesday to discuss a response.

A spokesman for China's embassy in Washington DC told BBC News: "No-one will win a trade war or a tariff war.”

The international pushback came a day after Trump announced his plans for his first day in office, on 20 January, in a post on his social media website, Truth Social.

Trudeau said his country is prepared to work with the US in "constructive ways".

"This is a relationship that we know takes a certain amount of working on, and that's what we'll do," Trudeau told reporters.

In a phone call with Trump, Trudeau said the pair discussed trade and border security, with the prime minister pointing out that the number of migrants crossing the Canadian border was much smaller compared to the US-Mexico border.

Trump's team declined to confirm that the phone call had taken place.

"We do not comment on private calls between President Trump and other world leaders," Trump spokesman Steven Cheung said, adding that world leaders have sought to "develop stronger relationships" with Trump "because he represents global peace and stability".

Mexico's Sheinbaum told reporters that neither threats nor tariffs would solve the "migration phenomenon" or drug consumption in the US.

Reading from a letter that she said she will send to Trump, Sheinbaum also warned that Mexico would retaliate by imposing its own taxes on US imports, which would "put common enterprises at risk".

She said Mexico had taken steps to tackle illegal migration into the US, saying that “caravans of migrants no longer reach the border”.

The issue of drugs, she added, “is a problem of public health and consumption in your country’s society”.

Meanwhile, a spokesman for China's embassy in Washington, Liu Pengyu, told BBC News that "China-US economic and trade cooperation is mutually beneficial in nature".

He disputed that China allows chemicals that can be used to manufacture illegal drugs - including fentanyl - to be smuggled to the US.

"China has responded to US request for verifying clues on certain cases and taken action. All these prove that the idea of China knowingly allowing fentanyl precursors to flow into the United States runs completely counter to facts and reality," he said.

President Joe Biden has left in place the tariffs on China that Trump oversaw in his first term, and added a few more of his own.

Currently, a majority of what the two countries sell each to other is subject to tariffs - 66.4% of US imports from China and 58.3% of Chinese imports from the US.

The leaders of Canadian provinces suggested that they would impose their own tariffs on the US. In statement to the media, they emphasised the joint work done regularly on the shared border and stressed the importance of the US-Canada trading partnership.

"The things we sell to the United States are the things they really need," Deputy Prime Minister Chrystia Freeland said on Tuesday. "We sell them oil, we sell them electricity, we sell them critical minerals and metals."

America's northern neighbour accounted for some US$437bn (£347bn) of US imports in 2022, and was the largest market for US exports in the same year, according to US data.

Canada sends about 75% of its total exports to the US.

Doug Ford, the premier of Ontario, Canada's most populous province, said on Monday the proposed tariff would be "devastating to workers and jobs in both Canada and the US".

Ford was echoed by the premiers of Quebec, Saskatchewan and British Columbia, while a post on the X account of Alberta Premier Danielle Smith acknowledged that Trump had "valid concerns related to illegal activities at our shared border".

The Canadian American Business Council (CABC) said "we strongly oppose" the proposed tariff, which the council said would undermine a North American trade agreement between Canada, the US and Mexico that was renegotiated under Trump's first term.

The CABC statement added that the move would "harm businesses on both sides of the border and erode the economic and geopolitical strength of North America".

Tariff hikes touted by Trump on the election trail could be a negotiating strategy, it has previously been suggested by the man picked by the US president-elect to be his new treasury secretary.

"My general view is that at the end of the day, he's a free trader," Scott Bessent said of Trump in an interview with the Financial Times before he was nominated for the role. “It’s escalate to de-escalate.”

The Canadian dollar, the Loonie, has plunged in value since Trump vowed to impose tariffs on Canadian imports come January.

The Canadian dollar dipped below 71 US cents, the lowest level the Loonie has fallen to since May 2020, when Trump threatened to impose tariffs on Canadian goods during his first stint as US president. The Mexican peso fell to its lowest value this year, around 48 cents.