The committee considered the legislation in the wake of an August in which 53 people were killed in mass shootings in the US, according to Judiciary Chairman Jerrold Nadler of NY.
A bipartisan group of three U.S. senators on Wednesday said they were attempting to revive legislation that failed in 2013 to close loopholes on the law requiring gun sale background checks, but were awaiting word on whether President Donald Trump will support their effort.
"Thousands of people, thousands of children have died since Senator McConnell first refused to take up our bills".
Democrats say there is broad public support for the three measures.
Republicans argue that the bills would do nothing to make the country safer and would infringe on constitutional rights.
Manchin, on Tuesday, told "America's Newsroom" that the president should support his background check legislation, which he claimed, garnered support from the vast majority of Americans gun owners. He along with Democrat Chris Murphy and Republican Pat Toomey said they were promised by the president he will tell them Thursday whether or not the White House will take a position on background checks that is opposed by the National Rifle Association. Congress has not enacted any gun control legislation in decades.
Bipartisan US senators waiting on decision from Trump on gun control
The Daily Beast reported on Wednesday that Michael B. Williams, who was appointed as Trump's deputy assistant and counselor to the chief of staff in April, has been heavily involved in the White House's gun policy initiatives.
"That will not stop this committee", Nadler said of the Senate opposition at the beginning of the markup.
House Speaker Nancy Pelosi touted three gun measures - part of a coordinated strategy between House and Senate Democrats to push Senate Republican leader Mitch McConnell to allow a vote on such bills, including universal background check legislation that passed the House in February.
Trump said conversations would continue Wednesday night and into Thursday, and the senators said they hoped to hear back from the White House then.
The red flag legislation that the committee voted on Tuesday would set up a federal grant program to incentivize states to establish red flag laws - otherwise known as extreme risk protection orders, which enable a court to intervene and temporarily prevent someone who is in crisis from having access to a firearm.