Vice President Mike Pence and two top White House officials made the offer in a closed-door meeting with members of the House Freedom Caucus, according to a participant. Opposition from the hard-line group, which has around three dozen conservative Republicans, contributed to circumstances that forced House Speaker Paul Ryan to withdraw the bill from a March 24 vote that would have produced a certain defeat.

Under the White House offer, states would be allowed to apply for waivers from several coverage requirements that President Barack Obama’s 2010 health care law imposed on insurers.

These include an Affordable Care Act provision prohibiting insurance companies from declining to write policies for people with serious diseases. Conservatives have argued that such requirements have the effect of inflating insurance costs.

Freedom Caucus members said they wanted to see the White House offer in writing — which is expected Tuesday — before deciding whether to accept it.