Trump spoke to Republican Senator John Cornyn on Friday about a bipartisan bill that he and Democratic Senator Chris Murphy introduced to improve federal compliance with criminal background checks, White House spokeswoman Sarah Sanders said. Richard Blumenthal (D-Conn.). Dozens of high-school students staged a "lie-in" outside the White House on Monday and chanted "We want safe schools".
The legislation was introduced following the deadly church shooting in Sutherland Springs, Texas.
Several student survivors have called on Mr Trump and members of Congress to take action on gun control, appearing on news programmes to announce they will lead a nationwide demonstration next month to bring further attention to the issue.
Following the shooting in Sutherland Springs previous year, the president said, "We have a lot of mental health problems in our country, as do other countries, but this isn't a guns situation".
Students from the Marjory Stoneman Douglas High School have been vocal since Wednesday's attack about the need for changes gun laws.
Rivera's views on the issue were contrasted by another dinner guest, Donald Trump Jr., an avowed gun rights supporter who accompanied his father to this year's NRA annual conference in Atlanta.
Trump, who visited first responders and some victims Friday, has focused his comments on mental health, rather than guns.
Many Republicans generally oppose measures to tighten gun restrictions, citing the U.S. Constitution's Second Amendment protection of the right to bear arms.
That gives Trump some flexibility, but only to a point, and that point will not include another useless ban on "assault rifles", which are ambiguously defined as semi-automatic scary-looking weapons but differ in no real significant way from other semi-automatic weapons. In an interview on CNN, she said, "If they accept this blood money, they are against the children ... you're either funding the killers, or you're standing with the children".
"Interesting morning. Two quick thoughts: 1/ Trump's support for the FixNICS Act, my bill with @JohnCornyn, is another sign the politics of gun violence are shifting rapidly". "The families and students of Parkland aren't looking for a modest step", Markey said, "they are looking for real action to keep guns out of the hands of people who shouldn't have them". The FBI admitted it did not act on a tip on January 5 about him, when someone with a close relationship to Cruz called in with information about the teenager's "gun ownership, desire to kill people, erratic behavior and disturbing social media posts, as well as the potential of him conducting a school shooting".
Trump has largely tried to avoid the politically divisive gun debate, instead blaming mass shootings such as the one from last week on mental-health issues.
Trump is scheduled to meet with high school students on Wednesday for a listening session followed by talks Thursday with state and local officials on school safety.
Kasich said there were honest disagreements on the issue from people who "feel strongly" and stressed he supports the Second Amendment. James Lankford, R-Okla., said there may be measures that could be put in place to make it harder to get a gun for someone with the behavioral warning signs people saw in Cruz.
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