"There is still more work to be done on the final bill, and nothing is agreed to until everything is agreed to," Republican Senator Tim Scott, Democratic Senator Cory Booker and Democratic Representative Karen Bass said in a joint statement. "Over the next few weeks we look forward to continuing our work toward getting a finalized proposal across the finish line."
They provided no additional details on their points of agreement.
Bipartisan talks on policing were resurrected earlier this year, around the time a Minnesota jury convicted a former police officer of murdering George Floyd. The talks also came nearly a year after previous efforts for police reform stalled in Congress.
Last year, Scott introduced a bill during global protests sparked by the death of Floyd, an African-American man killed after white Minneapolis police officer Derek Chauvin kneeled on his neck for more than 9 minutes.
But that bill failed in the Senate after Democrats said it relied too much on incentives rather than mandating changes.
The House of Representatives passed a bill in March mostly along partisan lines that aims to put a stop to aggressive law enforcement tactics, but it has not yet been considered by the Senate.
A sticking point in policing talks had been the issue of qualified immunity.
Qualified immunity protects police officers and other types of government officials from civil litigation in certain circumstances, allowing lawsuits only when an individual's "clearly established" statutory or constitutional rights have been violated.
Unions for police officers and sheriff's departments had opposed the changes to qualified immunity made in the House bill.
Civilians currently face onerous legal barriers to try to hold police departments or municipalities accountable for civil rights violations.
According to Supreme Court precedent, civilians typically must show that official policies or certain customs were the "moving force" behind their injuries, or that the officer had been improperly trained. Courts often dismiss those claims, citing an absence of evidence. read more Reporting by Makini Brice in Washington Editing by Matthew Lewis