Senate Republicans are in a standoff with President Donald Trump over the next steps in his controversial gun-control agenda.
The latest round of talks comes after Trump told a New Hampshire town hall crowd on Thursday that he is open to reopening the federal background check system if Congress acts to close the so-called gun show loophole.
But Senate Democrats have been more cautious, and Republicans say the president should consider reopening if he wants to avoid a showdown over the issue.
In addition to the gun-show loophole, Trump has called for a federal law to allow private citizens to sell guns to each other in public, an idea that has angered Democratic lawmakers who are pushing for an amendment to prevent the sale of firearms to anyone not a licensed gun dealer.
Trump also proposed a measure to ban all assault weapons and high-capacity magazines.
The NRA, which endorsed him in the 2016 election, has opposed the plan, saying it will allow criminals to acquire more firearms.
The White House also wants to expand background checks to allow more private sales of guns, and the NRA is still opposed.
The House is set to vote on a bill that would extend background checks for gun purchases through September 1, but Senate Democrats say they want to wait until after the election to take action.