Democrats' strategy on health care: Should they make a deal with President Trump?

Dems called on the president to stop working to undermine Obamacare.

Today, in a second letter, top Democrats from both the House and the Senate said the president needed to stop, in their opinion, actively work to undermine the current law.

He said he and Pelosi were on “very different pages.”

Progressives, who have a loud voice in the party these days, are arguing that Democrats should start all negotiations by proposing an even farther-reaching policy: a “Medicare-for-all,” single-payer type system.

“The point is, let’s fight for the ideal and if republicans want a deal, then we will deal with them from there, but we are not going to back ourselves into a corner,” Neil Sroka, Communications Director for Democracy for America, told ABC News in an interview this week.

He argued the “old way” that Democrats used to strike deals was by laying out a compromise position to start and letting Republicans “whittle that away to nothing.”“It is not our job to help Republicans get out of the mess they created for themselves ... Our job is to do something but we have to have another side that wants to negotiate with us,” he added. “Trump actually needs to start looking for ways he can agree with Democrats and so far we have not seen that.”

Not all Democrats believe that the party should advocate for such a sweeping reform like Medicare for all.

More moderate House Democrats say they turned down an invitation to go to the White House to meet with a staffer on the issue. “With all due respect to the folks there, if that particular staffer wants to meet, come meet with the Blue Dogs here," Rep. Henry Cuellar, (D-Texas), a moderate leader of the Blue Dog Caucus, told ABC.

House Democratic Whip Steny Hoyer, (D-Maryland), said his members did not want to trek down Pennsylvania Avenue to “be a prop.” He said he had not heard from the White House yet.

“I think we were for the public option we passed the public option so that everybody will have availability of policy. Republicans have complained that there’s only one option in a lot of places so having a public option in a lot of places would be a good option,” he added.

ABC News' Ben Siegel contributed to this report