Following public mass shootings, President Trump has called for expanding gun background checks. Then nothing happens. (Video: JM Rieger/The Washington Post, Photo: Jabin Botsford/The Washington Post)

President Trump appears to be backing away from potential support for gun background check legislation, according to White House aides, congressional leaders and gun advocates, dimming prospects that Washington will approve significant new gun measures in the wake of mass shootings that left 31 dead.

Immediately after the carnage in El Paso and Dayton, Ohio, Trump said “there is a great appetite” for tightening background checks on people who buy firearms. But in recent days, Trump has focused in public remarks on the need to keep guns out of the hands of the mentally ill while emphasizing that the nation already has “very strong background checks right now” — positions that hew more closely to the views of the National Rifle Association.