A cross-party group of US senators say they have agreed a framework for potential legislation on gun safety.
The measures would include support for tougher background checks for buyers under the age of 21 and cracking down on illegal gun purchases.
Crucially, the proposals are supported by 10 Republicans, meaning they have the numbers to be voted into law.
President Biden said the plans were "steps in the right direction" but they fall far short of what he called for.
Tens of thousands of protesters rallied across the US on Saturday to call for stricter gun laws in the wake of two mass shootings.
"Today, we are announcing a common sense, bipartisan proposal to protect America's children, keep our schools safe, and reduce the threat of violence across our country," the Senate group said in a statement.
"Families are scared, and it is our duty to come together and get something done that will help restore their sense of safety and security in their communities."
The senators also called for increased investment in mental health services and school safety resources, as well as including domestic violence convictions and restraining orders in the national background check database for people buying firearms.
President Biden urged lawmakers to pass the proposals quickly, while making clear that they did not go as far as he wanted.