Story highlights The House Freedom Caucus represents the conservative wing of the Republican party

Their disagreements with moderate GOP members stalled health care legislation last month

(CNN) President Donald Trump's administration had meetings Monday with two key groups of Republicans, whose split over health care policy caused GOP leaders to pull a plan last month to repeal and replace Obamacare.

Emerging from a meeting Monday night with Vice President Mike Pence, House Freedom Caucus Chairman Mark Meadows said his group was "intrigued" by an idea the White House floated to give states more flexibility to opt out of Obamacare regulations using a waiver process, but Meadows wouldn't promise the Freedom Caucus would be on board in the end.

"No one made any definitive changes in terms of moving from 'no' to 'yes' primarily because there is not enough detail to do so," Meadows said. "But I can tell you all the 'no's,' every one of the 'no's,' expressed a willingness to look at this in a very detailed manner."

While Meadows stressed that there was no deal in principle and members were still awaiting legislative text to be finalized in the next 24 hours, the general idea would be that states could chose not to require insurers to cover things like " essential health benefits " required under Obamacare now. That would mean insurers would not have to cover services like hospitalization or maternity care. Conservatives have wanted to remove that requirement in any GOP passed plan, while some moderates have wanted to keep them in.

Also on the table, Meadows said, was the idea that insurers could opt out of community health ratings, which currently ban insurers from charging higher premiums based on gender or health history.

Read More