Days after 19 children and two teachers were gunned down in Texas, politicians in Washington are tinkering around the edges of America’s gun laws.

A bipartisan group of senators is scheduled to hold virtual meetings early next week and has some proposals on the table: the expansion of background checks, legal changes to prevent the mentally ill and teenagers from getting guns, and new rules for gun trafficking.

Democratic Sen. Chris Murphy of Connecticut, the leader of the effort, said he had not seen so much willingness to talk since 20 children were murdered at Sandy Hook Elementary School in Newtown, Connecticut, in 2012.