The Commerce Department did not immediately respond to a call seeking further details about the agreement.
On Capitol Hill, one senior congressional source said leaders have not yet received formal notification.
Lawmakers have warned the administration not to go easy on a company that brazenly violated U.S. sanctions against two rogue nations that were pursuing nuclear weapons production.
"If the administration goes through with this reported deal, President Trump would be helping make China great again," said Democratic Sen. Chuck Schumer of New York.
Schumer added: "Both parties in Congress should come together to stop this deal in its tracks."
"ZTE presents a national security threat to the United States — and nothing in this reported deal addresses that fundamental fact," said Sen. Chris Van Hollen, D-Md. "If President Trump won't put our security before Chinese jobs, Congress will act on a bipartisan basis to stop him."
Republican Sen. Marco Rubio of Florida tweeted: "It is a great deal ... for #ZTE & China ... Many hoped this time would be different."
Congress, Rubio said, "will need to act."
The Commerce Department last month blocked China's ZTE from importing American components for seven years, having concluded that ZTE deceived U.S. regulators after it settled charges last year of violating sanctions against Iran and North Korea. The ban amounted to a virtual death sentence for ZTE, which relies on U.S. parts, and it also hurt ZTE's U.S. suppliers.
On the eve of broad trade talks last week with a Chinese trade envoy, Trump waded into the ZTE case: He tweeted that he was working with President Xi Jinping to put ZTE "back in business, fast" and save tens of thousands of Chinese jobs.
He later tweeted that the ZTE talks were "part of a larger trade deal" being negotiated with China.
Word of a reported ZTE agreement comes nearly a week after the U.S. and China suspended plans to impose tariffs on as much as US$200b of each other's goods. In doing two, the two nations pulled back from the brink of a trade war over Chinese demands that U.S. companies hand over some of their technology as the price of doing business in China.
Commerce Secretary Wilbur Ross is scheduled to travel to Beijing on June 2 for further discussions over China's aggressive push to challenge U.S. technological dominance. Resolving the ZTE case — a company that employs more than 70,000 Chinese — could make the talks go more smoothly.
- AP