Senate Republican leader Mitch McConnell has asked Texas GOP Sen. John Cornyn to lead a bipartisan effort on legislation in response to this week’s deadly school shooting in the senior senator’s home state.

McConnell, of Kentucky, has also asked other top Senate Republicans to join in negotiations that would include talks with Democrat Sens. Chris Murphy, of Connecticut, and Kyrsten Sinema, of Arizona, according to CNN.

Murphy, in whose state the worst elementary school shooting in U.S. history occurred, at Sandy Hook Elementary, in 2012, in which 20 students and six adults were killed, is a big gun safety advocate.