The White House official and most lawmakers and GOP congressional aides who spoke were not authorized to discuss the internal process publicly and insisted on anonymity.
House Republicans have been away from Washington the past two weeks and, for some, town halls held in their districts have drawn anger from constituents over the failed health care proposal, which the Congressional Budget Office estimated would result in 24 million losing or dropping health insurance coverage over a decade.
But amid increased pressure from the White House to move forward with the plan to unravel the 2010 health care law, some conservatives have questions about the changes.
During an interview with Fox News on Wednesday night, White House press secretary Sean Spicer said there's a "potential" that Republicans revive their efforts to repeal Obamacare before Trump's 100th day in office, April 29.
Meadows explained that both sides want to "make sure that preexisting conditions are taken care of". "Are you shocked?", he said in reference to health care and passing a continuing resolution to fund the government next week.
House Republicans have a conference call scheduled for Saturday where members will be briefed on the latest health care and government funding developments. His big-picture takeaway on the discussions: "Differences have narrowed and this thing is very much alive". "But the hope is that they don't lose other people".
The colleagues he has spoken with appear "cautiously optimistic", Cole added. Trump responded. "And we're doing very well on health care". Sources told Politico they believe they are close to having the votes necessary to pass the bill. A draft of the legislative language for the spending bill could circulate among lawmakers before they return on Monday.
Ryan recently said negotiators were putting the "finishing touches" on an effort to bridge the gap between archconservatives who want to tear down the Affordable Care Act's rules on insurers and centrists who've pledged to defend popular protections in the program.
With the 100-day mark of the Trump administration on the horizon, the White House is eager for a legislative victory on health care.
But there are significant obstacles.
The plan "would make coverage unaffordable for many older consumers and would segregate high cost consumers in coverage that would likely be inadequate", says Timothy Jost, an emeritus professor at Washington and Lee Law School who writes a health policy blog for Health Affairs.
"It looks to me like we're headed in the right direction", Rep. Dave Brat, R-Va., a Freedom Caucus member, said Thursday.
The Tuesday Group has roughly 50 members.
It would deliver a win to moderates by amending the GOP bill to restore Obama's requirement that insurers cover specified services like maternity care.
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. At the same time, the deal would allow states the option to maintain insurance protections.
The amendment provides a big exception for that last one - states can let insurers charge different prices for sicker consumers if they set up a "high risk pool" created to subsidize those who are priced out of the market.
But an increasing number of GOP lawmakers have been voicing new concerns, amid a widespread public backlash against the House legislation.
Reform advocates warn if nothing is done soon, insurers will vanish from the Obamacare exchanges and offerings left behind, if any, will be too expensive for the people who need it most.