And Trump, in remarks to reporters Wednesday, said he is in meetings with senators from both sides of the aisle to come up with what he called a "gun-sense" bill.
And in another preview of what could come, the Democrat-controlled House Judiciary Committee rejected all Republican amendments and passed the three bills on straight party-line votes.
A source familiar with the talks, which included Manchin, Toomey, and Chris Murphy, D-Conn., who favors far more expansive gun control measures, said there was no agreement by the president on when he would reveal his highly-anticipated decision; rather, White House staff is expected to present options to Trump in the next 24 to 48 hours.
Republican leaders, who like McConnell are reluctant to endorse any measure without the president expressing a willingness to go along, met with Trump on Tuesday afternoon at the White House. Toomey's Democratic colleagues - U.S. Sens.
"We're going to take a look at a lot of different things and we'll be reporting back in a fairly short period of time", Trump said, according to a White House pool report.
Democrats are also pressing Senate Majority Leader Mitch McConnell to take up House-passed legislation that would expand background checks to cover virtually all gun sales and to extend the time that federally-licensed dealers must wait to hear back from the Federal Bureau of Investigation before proceeding with a sale. Trump, he noted, had long ago said he would veto the House-passed background check bill.
Pelosi said: "We did our job".
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The governors of Pennsylvania, New Jersey and DE are urging President Donald Trump to act on gun handle by supporting a common track record check out bill, and to outlaw assault weapons.
"He is very engaged and he would like to accomplish something", said Toomey.
Amid fierce lobbying against the bill by the National Rifle Association and gun industry groups, the measure failed in April, 2013.
"They are working on coming up with a proposal that the president will sign".
"This is the kind of thing where you might actually have to have a vote to find out where the votes are", Toomey said.
GOP Sen. Thom Tillis of North Carolina said that he would be willing to consider bills like Manchin-Toomey if he thinks there's bipartisan agreement.
"Background checks on all gun sales are a common-sense solution with overwhelming public support and are a critical step toward stemming the gun violence epidemic in this country", the letter continued.
Trump said conversations would continue Wednesday night and into Thursday, and the senators said they hoped to hear back from the White House then.