President Trump on Wednesday said he was making progress negotiating with senators from both sides of the aisle on a measure he proposed calling the “Gun Sense Bill.”

“I spoke with Senator Toomey and Senator Murphy and Joe Manchin, Senator Joe Manchin, just had a long talk with them just before this meeting, just hung up,” the commander in chief said from the White House, referring to Democrats Manchin of West Virginia and Chris Murphy of Connecticut and Republican Pat Toomey of Pennsylvania.

“It’s really ‘Gun Sense,’ if you think about it,” Trump said, suggesting that any bill lawmakers come up with should bear that name. “We’re having great dialogue. We’ll see what happens.”

Trump said meetings would go on later Wednesday, adding, “I think progress is being made.”

Asked if he supported background checks on all private gun sales, the president was non-committal.

“We’re going to take a look at a lot of different things, and we’ll be reporting back in a fairly short period of time. There’s a lot of things under discussion. Some things will never happen … and some very meaningful things can happen,” he said.

“We’re looking at background checks, and we’re looking at putting everything together in a unified way so that we can have something that’s meaningful,” he continued.

“At the same time, all of us want to protect our great Second Amendment. It’s very important to all of us.”

The three senators made a fresh pitch to the president earlier Wednesday amid continued gridlock over legislation to curb gun violence following a summer of more mass shootings.

But Toomey, Manchin and Murphy cautioned that they did not win Trump’s endorsement of their background check bill during their 40-minute telephone conversation.

But they depicted the president as engaged and encouraging, with Toomey saying Trump had a strong “interest in doing something meaningful” to prevent gun violence, even though he has not endorsed any specific approach.

Trump has said he supported tougher background checks, but has also backed away from that stance.