As McConnell pledges caution, Chuck Schumer and Nancy Pelosi are pushing him to quickly approve more coronavirus relief measures.
Trump threatened to veto the bill to reauthorize foreign surveillance powers, which has drawn criticism from Republicans and Democrats.
Democrats are pushing to pass their next coronavirus relief bill, but Republicans have less urgency as they grow wary of taxpayer spending.
The House will only come back if it has to pass emergency coronavirus response legislation, according to Majority Leader Steny Hoyer's office.
The House aims to quickly pass a $2 trillion coronavirus stimulus plan, but one lawmaker's objection could push a vote to as late as Saturday.
U.S. stock futures gave up overnight gains and pointed to losses for the Dow at Thursday's open on Wall Street.
Many Democrats have seized on the Mueller report, declaring it a damning account of executive incompetence and unethical conduct.
Some people who worked on Robert Mueller's investigation believe that evidence President Donald Trump tried to impede that probe is stronger than what Attorney General William Barr publicly suggested when he cleared Trump of obstruction.
House Majority Leader Steny Hoyer (D-Md.) joins CNBC's "Squawk Box" team to discuss the U.S.-China trade talks and what he hopes comes of the negotiations.
House Majority Leader Steny Hoyer (D-Md.) joins CNBC's "Squawk Box" team to discuss Huawei's announcement that it is suing the US government for preventing government agencies to buy Huawei technology.
Democrats will call for candidates to disclose 10 years of tax returns as part of a comprehensive ethics reform package known as HR1.
"I believe you're going to find it in the courts almost immediately," says the Iowa Republican. "It contravenes the power of the purse" of Congress.
"For me, it's a practical issue. Is it effective? Will it work? Is it the best thing we can do to secure the border? Most of the people I talk to, including on the border, don't think it is," Maryland Rep. Steny Hoyer says.
House Majority Leader Rep. Steny Hoyer (D - Md.) stops by "Squawk Box" to discuss the government shutdown as it enters its 21st day.
If the last face-to-face meeting among Democrats Nancy Pelosi and Chuck Schumer and President Donald Trump is any guide, the discussion could prove tense — and unproductive.
The briefing comes as Trump continues to demand $5 billion in taxpayer money for the border wall and Democratic leaders have shown no willingness to agree to it.
The White House invites top lawmakers to meet about the standoff over border funding.
A former aide writes that Obama was shocked that Americans elected "a cartoon."
House Minority Whip Steny Hoyer, (D-Md.), explains how limitations on state and local tax deductions will impact taxpayers.
The decision comes after an expensive, years-long search for a new site.