NEW YORK -- U.S. President Donald Trump's decision to allow certain American exports to Huawei Technologies has drawn objections in Congress, with both Republicans and Democrats calling it a dangerous concession.

"I will continue to work with my colleagues and the administration to make sure that we are cleareyed about the threat that Huawei poses to the United States, and to make it a priority to protect American businesses and our national security," leading Republican Sen. Marco Rubio of Florida said Monday in a Twitter video.

Rubio also assailed the Chinese telecommunications equipment manufacturer's "aggressive and hostile effort to weaponize our country's legal system against American companies."

The senator, a vocal critic of China's practices, had tweeted Saturday that if Trump "has in fact bargained away the recent restrictions on #Huawei, then we will have to get those restrictions put back in place through legislation" that will pass with a veto-proof majority.

Prominent Democratic Sen. Chuck Schumer of New York also spoke out.

"This is unacceptable. Why are you backing down again on China?" the Senate minority leader tweeted Saturday in response to Trump's own tweet announcing looser restrictions on the company.

"Huawei is one of few potent levers we have to make China play fair on trade," Schumer continued. "This will dramatically undercut our ability to change China's unfair trade practices."

The top Democrat on the Senate Finance Committee, Ron Wyden, joined the chorus.

"I'm all for getting China to address its theft of U.S. tech, but letting a national security threat like Huawei off the hook sends China exactly the wrong message," Wyden said in an emailed statement. "Donald Trump is telling the Chinese he's willing to sell our secrets for a quick political win."

After a weekslong hiatus, Trump said Monday that trade talks with China are back on and that he hopes to reach a "fair deal" with Beijing.

But "obviously we can't make a 50-50 deal -- it has to be a deal that is somewhat tilted to our advantage" to make up for years of trade surpluses on the Chinese side, he said in a press briefing at the White House.

In a key escalation of Sino-American trade tensions, the U.S. Department of Commerce added Huawei to its "Entity List" in May, essentially barring exports of American technology and goods to the company. The Chinese government then announced its still-unreleased list of "unreliable entities."

Trump had suggested ahead of last week's Group of 20 summit in Osaka that Huawei could be part of a U.S. trade deal with China, while Xi had reportedly planned to ask him to lift the ban. Trump tweeted Saturday that he had agreed to Xi's request to let the company Huawei buy American products that do not impact national security.

Two Democratic presidential candidates, Sens. Tim Ryan of Ohio and Amy Klobuchar of Minnesota, spoke out against Trump's decision Sunday.

"With what China's been doing with cybersecurity, what Huawei's been doing all over the world, and we're going to back down?" Ryan said Sunday in an interview with Fox News. "I thought that was the one piece that we could count on President Trump to hold the line on for national security purposes."

"I'm very disappointed in the president," Ryan said. "Even those of us who really disagree with him on so much thought that, on the national security piece, he would at least hold the line, and ... he folded like a cheap suit."

Klobuchar said Sunday on CBS' "Face the Nation" that "I don't think we should be doing business with them right now ... this is a major security risk for America."

Klobuchar criticized Trump's move to ease up on Huawei in exchange for "another promise" from China to purchase more agricultural products from the U.S. "I wouldn't give it up in that short-term gain for the long term, where we need to protect our security and our cybersecurity," she said.

Trump's decision has drawn sharp reaction even within his own party, with a number of Republican senators reiterating the risks they say the Chinese company poses.

"I think Huawei is a threat to the national security of America," John Barrasso of Wyoming, the third-ranking member in the Senate Republican leadership, said in an NBC interview Sunday. Trump is making decisions about what "our country and companies can sell overseas to Huawei," Barrasso said.

"To me, Huawei in the United States would be like a Trojan horse ready to steal more information from us," he said.

Cory Gardner, a Republican senator from Colorado, tweeted Saturday that the U.S. intelligence community "has made it abundantly clear Huawei puts the security of our communications at risk."

"If it's national security versus Huawei, the answer should be national security," he wrote.

Some lawmakers have said, however, that the congressional response will also depend on how much exports to Huawei are allowed. South Carolina Republican Sen. Lindsey Graham, a prominent Trump ally, told CBS on Sunday that Trump's Huawei lifeline is "clearly a concession" and that "there'll be a lot of pushback if this is a major concession."

The White House has said the lifting of export ban on Huawei will apply only to widely available goods.

Virginia Democratic Sen. Mark Warner, the Senate Intelligence Committee vice chairman who has backed bills to penalize Huawei as well as ZTE, expressed caution.

"I would like to see the details, but we need to remember that Huawei represents a threat to our national security," Warner said in an emailed statement. Letting the company participate in building America's next-generation communications networks "should be unacceptable for everyone," he said, adding that if Trump's deal goes too far, "Congress would certainly act to reverse it."