WASHINGTON — Senate Majority Leader John Thune quickly swatted down a Democratic offer to reopen the government and extend expiring health care subsidies for a year, calling it a “nonstarter” as the partisan impasse over the shutdown continued into its 38th day.

Senate Democratic Leader Chuck Schumer made the offer to reopen the government on Friday as Republicans have refused to negotiate on demands to extend health care subsidies. It was a much narrowed version of a broad proposal Democrats laid out a month ago to make the health tax credits permanent and reverse Medicaid cuts that Republicans enacted earlier this year.

Schumer offered Republicans simultaneous votes to end the government shutdown and extend the expiring health care subsidies, along with a bipartisan committee to address Republican demands for changes to the Affordable Care Act.

“All Republicans have to do is say yes,” Schumer said.

But Republicans quickly said no, and Thune reiterated that they would not trade offers on health care until the government is reopened. “That’s what we’re going to negotiate once the government opens up,” Thune said after Schumer made his proposal on the floor.

Thune said he thinks the offer is an indication that Democrats are “feeling the heat.”

“I guess you could characterize that as progress,” he said. “But I just don’t think it gets anywhere close to what we need to do here.”

Republicans met Friday afternoon with no resolution about steps forward.

“We’re back to square one,” said Sen. John Kennedy, adding that he could not predict when the shutdown will end.

Despite the stalemate, lawmakers in both parties were feeling increased urgency to reopen the government as airlines were forced to cut more than 1,000 flights, government workers remained unpaid and food aid was delayed for millions of people. Thune pleaded with Democrats as he opened the Senate on Friday to “end these weeks of misery.”

It was unclear what may happen next. Thune was keeping the Senate in session over the weekend as a group of moderate Democrats worked on a possible compromise proposal. President Donald Trump called on the Senate to stay in town “until they have a Deal to end the Democrat Shutdown.”

As leaders of the two parties disagreed, the small group of Democrats led by New Hampshire Sen. Jeanne Shaheen continued to negotiate among themselves and with rank-and-file Republicans on a deal that would end the shutdown.

The group has been discussing for weeks a vote for a series of bills that would pay for parts of government — food aid, veterans programs and the legislative branch, among other things — and extend funding for everything else until December or January. The three annual spending bills that would likely be included are the product of bipartisan negotiations that have continued through the shutdown.