After the deaths at Sandy Hook in 2013, West Virginia Senator Joe Manchin co-sponsored an amendment to expand background checks only to see his efforts fail as only 54 senators (out of the 60 needed) supported his amendment. Two days ago, on Face the Nation, he discussed working with Trump’s staff on passing similar background checks:

It's been very encouraging with the dialogue going back and forth and all the people meeting and all of the staffs working together, trying to find a pathway forward. I can't tell you the end result. I can't tell you what the final product will be, but we're working in a most common sense procedure of what we can get the votes for to do something that truly starts making America safe again.

Here are the top three headlines on this subject at 1 PM today:

Washington Post: Trump again appears to back away from gun background checks

Politico: Democratic leaders assail Trump’s apparent reversal on background checks

MSNBC: Trump retreats on background checks, says mental health is to blame for gun violence

I think we're getting a better picture of what that "end result" might be.

Update -- Thursday evening: News sources say it's over

The Associated Press confirm what other news sources have previously reported:

President Donald Trump insisted Tuesday that the U.S. already has “very, very strong background checks” for gun purchases in the latest sign that he is backing away from throwing his political support behind changes to the system that are opposed by the powerful gun lobby.