Biden's proposals are also expected to include recommendations to address mental health care and violence on television and in movies and video games. Those issues have wide support from gun rights groups and pro-gun lawmakers.
The vice president also met Thursday with representatives from the entertainment industry, including Comcast Corp. and the Motion Picture Association of America. He'll hold talks Friday with the video game industry.
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."
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.
Biden also talked about holes in NICS -- the National Instant Criminal Background Check System -- when states don't relay information to the database used by dealers to check purchasers. Advocates blame Congress for not fully funding a law that provides money to help states send records to the database.
Gun control backers see plenty of room for executive action when it comes to improving background checks and other areas.
For example, advocates say Obama could order the Justice Department to prosecute more people flagged by background checks as prohibited purchasers when they try to buy guns; expand a rule that requires dealers to notify the Bureau of Alcohol Tobacco Firearms and Explosives when someone tries to buy multiple semiautomatic rifles, a program now confined to Mexico border states, and increase enforcement actions at gun shows.
The group Mayors Against Illegal Guns has sent the White House 40 steps it says would save lives and dramatically improve enforcement of existing laws without any action by Congress.
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.