President Donald Trump is signaling interest in taking another stab at passing a health care overhaul despite Republican leaders and the administration failing to get their first proposal to a vote on the House floor last week.

Speaking to a bipartisan group of senators and their spouses at the White House on Tuesday night, Trump struck an optimistic tone.

"I know that we're all going to make a deal on health care," he said. "That's such an easy one."

"So I have no doubt that that's going to happen very quickly. I think it will, actually," he continued. "I think it's going to happen, because we've all been promising – Democrat, Republican – we've all been promising that to the American people."

Behind the scenes, White House senior counselor Steve Bannon is reaching out to moderate and conservative lawmakers on the possibility of a new plan, according to Politico.

And Trump's confidence echoed similar sentiments from House Speaker Paul Ryan on Tuesday, when he addressed reporters following the House GOP's weekly closed-doors conference. The session served as a postmortem with the full Republican rank-and-file after efforts to pass the Ryan-backed American Health Care Act collapsed Friday afternoon.

"We're not going to retrench into our corners or put up dividing lines," Ryan, R-Wis., said after the meeting, which stretched nearly two hours. "There's too much at stake to get bogged down in all that."

"I think we're closer today to repealing Obamacare than we've ever been before, and surely even closer than we were Friday," added Majority Whip Steve Scalise, R-La.

Still, it's not clear what – if anything – would bridge the divisions between wings of the conference that proved intractable during negotiations last week, when Bannon, Ryan, Trump and Vice President Mike Pence worked to woo skeptical conservatives without losing moderates.

Neither side has shown interest in dropping their demands since Friday, although lawmakers in the conservative Freedom Caucus insisted – as they had previously – that their hope was to "get to yes."

"The minds that have been in the starkest disagreement are now going to put their heads together," Iowa Rep. Steve King, who is not a member of the Freedom Caucus, told reporters.

On the other side of the Capitol, senators are eyeing their House colleagues' positive predictions with doubt.

Speaking to reporters Tuesday, Majority Leader Mitch McConnell said the effort to follow through on seven years of promises to repeal the Affordable Care Act were – at least for the moment – at an end.