The colleagues he has spoken with appear "cautiously optimistic", Cole added. However, they cannot discriminate based on gender or age - older persons could still be charged up to five times more than young people, instead of the 3-to-1 ration in place now - or someone's health status.
As of now, the broader conference is not aware of what the new health care blueprint is, suggesting that things are very much in the air.
"I don't think there are any credible sources you can rely on for dictating the road forward", Gurda said.
One problem is that no one has actually seen the amendments, at least not in legislative-language form.
"We have our list of priorities", Mulvaney said at an event hosted by the Institute of International Finance. "A couple little pieces on the regulatory framework, and then I think we can all get to yes".
Trump and House Speaker Paul Ryan reversed course just minutes before a scheduled vote, after it became that there were not enough GOP members in support of the bill.
Ryan said he and others are working on "finishing touches" to their repeal and replace legislation, though he also acknowledged that this work is "difficult".
President Trump's administration is scrambling to notch a significant legislative victory before he hits the 100-day mark next week and Democrats are finding themselves in the unusual position of holding all the cards in the negotiations.
The amendment wouldn't seem to address the big concerns moderates have expressed ― like raising the cap on how much insurers can charge seniors or cutting $880 billion from Medicaid.More news: Regina commemorates 100th anniversary of the Battle of Vimy Ridge
Meadows and his colleagues on the Freedom Caucus want to get rid of as many of Obamacare's insurance reforms, known as Title One for their section in the Affordable Care Act, as possible.
The elimination of premiums for pre-existing conditions is among the most popular elements of the Affordable Care Act.
States could ask Health and Human Services Secretary Tom Price to waive the part of Obamacare requiring insurers to cover a slate of "essential health benefits", such as mental health and maternity care.
Yet it allows states to obtain waivers from certain federal standards with the goal of cutting costs and increasing the number of uninsured.
But these high-risk pools were nearly universally unsuccessful before the advent of Obamacare, and the new GOP proposals drew swift criticism from many patient advocates and others.
In addition, states could obtain waivers to an Obama prohibition against insurers charging sick customers higher premiums than consumers who are healthy - a change critics argue would make insurance unaffordable for many.
CNBC and CNN also reported that the changes could push more Republicans to favor the health bill, which was dropped late last month after it failed to get enough support to pass. But GOP congressional leaders have been dubious of that timeline. It's impossible to write a bill that gives 216 Republicans in the House something they consider to be politically and substantively acceptable.
The nation's top medical groups, including the American Medical Association and the American Hospital Association, also have rejected the GOP's "repeal and replace" bill.
Democrats have taken a hard line against any money for the border wall and insist that the measure include the "Obamacare" payments to insurance companies.