Obama has pushed reducing gun violence to the top of his domestic agenda following last month's mass shooting at an elementary school in Newtown, Conn., where a gunman slaughtered 20 children and six adults before killing himself. The president put Biden in charge of an administration task force and set a late January deadline for proposals.
"I committed to him I'd have these recommendations to him by Tuesday," Biden said Thursday, during a separate White House meeting with sportsmen and wildlife groups. "It doesn't mean it's the end of the discussion, but the public wants us to act."
The vice president later met privately with the NRA and other gun-owner groups for more than 90 minutes. Participants in the meeting described it as an open and frank discussion, but one that yielded little movement from either side on long-held positions.
Keene told NBC there is a fundamental disagreement over what would actually make a difference in curbing gun violence.
Richard Feldman, the president of the Independent Firearm Owners Association, said all were in agreement on a need to keep guns out of the hands of criminals and the mentally ill. But when the conversation turned to broad restrictions on high-capacity magazines and assault weapons, Feldman said Biden suggested the president had already made up his mind to seek a ban.
"Is there wiggle room and give?" Feldman said. "I don't know."
White House officials said the vice president didn't expect to win over the NRA and other gun groups on those key issues. But the administration was hoping to soften their opposition in order to rally support from pro-gun lawmakers on Capitol Hill.
Biden's proposals are also expected to include recommendations to address mental health care and violence on television, in movies and video games. Those issues have wide support from gun-rights groups and pro-gun lawmakers.
As the meetings took place in Washington, a student was shot and wounded at a rural California high school and another student was taken into custody.
During his meeting with sporting and wildlife groups, Biden said that while no recommendations would eliminate all future shootings, "there has got to be some common ground, to not solve every problem but diminish the probability that our children are at risk in their schools and diminish the probability that firearms will be used in violent behavior in our society."
Several Cabinet members have also taken on an active role in Biden's gun violence task force, including Attorney General Eric Holder. He met Thursday with Wal-Mart, the nation's largest firearms seller, along with other retailers such as Bass Pro Shops and Dick's Sporting Goods.
The president hopes to announce his administration's next steps to tackle gun violence shortly after he is sworn in for a second term. He has pledged to push for new measures in his State of the Union address.