Trump tariffs live updates: Trump says US and China are discussing a deal

President Donald Trump reacted on social media to Nvidia's Monday announcement that it would commit to building its artificial intelligence supercomputers entirely in the United States, calling the move "very big" and "exciting."

The chip company promised to produce $500 billion of AI infrastructure in Texas over the next four years.

"All necessary permits will be expedited and quickly delivered to NVIDIA, as they will to all companies committing to be part of the Golden Age of America!" Trump claimed.

-ABC News' Kelsey Walsh

Vice President J.D. Vance reportedly said the U.S. and U.K. are currently "working very hard" on a trade deal and that there's a "good chance" the two sides will come to an agreement.

"The president really loves the United Kingdom. He loved the queen. He admires and loves the king. It is a very important relationship. And he's a businessman and has a number of important business relationships in an interview with UnHerd, a British news and opinion website, published on Tuesday.

Vance did not say how soon a deal could be reached with the U.K., but suggested it may be easier to reach one than with other European allies.

"With the United Kingdom, we have a much more reciprocal relationship than we have with, say, Germany… While we love the Germans, they are heavily dependent on exporting to the United States but are pretty tough on a lot of American businesses that would like to export into Germany," he said.

"Fairness" is at the center of working out deals, according to Vance, who said it will "lead to a lot of positive trade relationships with Europe."

"We very much see Europe as our ally," he told UnHerd. "We just want it to be an alliance where Europeans are a little more independent, and our security and trade relationships are gonna reflect that."

And after stocks across the globe plunged in the wake of Trump's tariffs announcement, Vance said in the interview that "any implementation of a new system is fundamentally going to make financial markets jittery."

"No plan is, you know, going to be implemented perfectly," he said, adding, "We're very cognisant of the fact that we live in a complicated world where nobody else's decisions are static. But the fundamental policy is to rebalance global trade, and I think the President has been very clear and persistent on that."

The Trump administration has a meeting scheduled with Japanese officials on Wednesday and a meeting with South Korea next week.

-ABC News' Justin Gomez

The national emergency Trump used to justify his sweeping tariffs is a “figment of his own imagination,” argued a group of small businesses that urged a federal court to declare the tariffs unlawful.

In a lawsuit filed Monday in the Court of International Trade in New York, the group of businesses alleged that the law used to invoke the tariffs -- the International Emergency Economic Powers Act -- does not empower Trump to unilaterally impose tariffs.

“The President of the United States claims the authority to unilaterally levy tariffs on goods imported from any and every country in the world, at any rate, calculated via any methodology—or mere caprice—immediately, with no notice, or public comment, or phase-in, or delay in implementation, despite massive economic impacts that are likely to do severe damage to the global economy,” the lawsuit said.

While Trump cited the country’s trade deficits to justify the tariffs, the lawsuit argued that the longstanding trade deficits between the U.S. and its trading partners is not an “unusual and extraordinary threat” needed to declare an emergency.

“This Court should declare the President’s unprecedented power grab illegal, enjoin the operation of the executive actions that purport to impose these tariffs under the IEEPA, and reaffirm this country’s core founding principle: there shall be no taxation without representation,” the lawsuit said.

The lawsuit was filed in a New York-based federal court that adjudicates trade laws and brought by five small businesses, including a New York liquor distributor, a Utah-based plastic pipe company, a Virginia-based educational equipment company, a Pennsylvania fishing and tackle outfitter, and a Vermont-based brand of cycling apparel.

The lawsuit marks the second case to challenge Trump’s tariff and the first to specifically call into question the sweeping measures imposed on what Trump called “Liberation Day” earlier this month.

-ABC News’ Peter Charalambous and Katherine Faulders

The White House is taking steps to move towards implementing new tariffs on semiconductors and pharmaceuticals, as Trump said earlier.

Copies of federal notices put online Monday show that the Department of Commerce initiated a public comment period for two Section 232 investigations of pharmaceutical and semiconductor-related products, including the machines used to make chips, and ingredients used for pharmaceutical production.

According to the notices, the investigation began on April 1.

The investigation itself does not implement tariffs, but could signal President Trump will move forward with new tariffs.

Trump has used Section 232 of the Trade Expansion Act of 1962 previously to implement tariffs on steel and aluminum imports as well.

-ABC News’ Molly Nagle