Although the Senate in April blocked a bipartisan proposal to expand background checks, Senate Majority Leader Harry ReidHarry Mason ReidDon’t worry (too much) about Kavanaugh changing the Supreme Court Dem infighting erupts over Supreme Court pick The dishonesty of the deep state MORE (D-Nev.) has vowed to reconsider the bill before the end of the year. Meanwhile, advocates are using the Newtown anniversary as a platform to redouble their pressure on Congress to revisit the issue.

As a part of that effort, New York City Mayor Michael Bloomberg (I) this week asked wealthy donors to withhold funds from the Senate Democrats who opposed the background check bill in April. And the families of Newtown victims met with Speaker John BoehnerJohn Andrew BoehnerFive GOP lawmakers mulling bid to lead conservative caucus Ex-lawmakers see tough job market with trade groups Veterans are left out of medical marijuana protections MORE (R-Ohio) and Minority Leader Eric CantorEric Ivan CantorDave Brat's seat moved to 'toss-up' 4 years after upset victory over Eric Cantor The animating forces behind the Democratic Party are true, radical leftists Divided Democrats are in danger MORE (R-Va.) Wednesday to urge tougher laws.

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Hoyer said BoehnerJohn Andrew BoehnerFive GOP lawmakers mulling bid to lead conservative caucus Ex-lawmakers see tough job market with trade groups Veterans are left out of medical marijuana protections MORE agreed to the meeting because “he is an empathetic person” who wants to show respect for people who have suffered great loss.

“But I don't know that they will move him to action,” Hoyer added.

Behind Boehner, GOP leaders have said for months that they would wait for the Senate to act before considering new gun laws in the lower chamber. But Rep. Bob GoodlatteRobert (Bob) William GoodlatteDems try to end hearing on bias against conservatives in tech Former FBI lawyer Lisa Page gets closed-door grilling from House Republicans 5 takeaways from wild hearing with controversial FBI agent MORE (R-Va.), chairman of the Judiciary panel, which has jurisdiction over gun laws, told The Hill last month that he's had “a lot of discussions” with Boehner on the topic, suggesting the House might tackle the issue independent from the Senate.

“We are trying to improve the system to keep people who are barred under the law from owning firearms from getting access to them,” Goodlatte said. “We don't think the things that were proposed in the Senate do that. So we have not backed away from trying to figure out how to improve that, but we've made no decisions yet about what to do.”

Advocates are hoping that public opinion polls — which show support for expanded background checks — will force opposition lawmakers to rethink their position. Two new surveys released Wednesday by Bloomberg's group, Mayors Against Illegal Guns, found that voter discontent with Sens. Jeff FlakeJeffrey (Jeff) Lane FlakeKelly lobbied Republicans to rebuke Trump after Putin press conference: report Senate weighs new Russia response amid Trump backlash Flake to Trump: 'Fake news' didn't side with Putin, you did MORE (R-Ariz.) and Kelly AyotteKelly Ann AyotteNew Hampshire governor signs controversial voting bill Former Arizona senator to shepherd Supreme Court nominee through confirmation process Shut the back door to America's opioid epidemic MORE (R-N.H.) continues to grow two months after they opposed the background check bill.

“Both senators have suffered for their votes against legislation that is overwhelmingly supported by Arizona and New Hampshire voters,” the survey results claim.

To pass the background check bill, Reid would need the support of five additional senators to defeat a likely GOP filibuster.

Hoyer, for his part, is pessimistic the House would act even if Reid is successful.

“I would hope that they would move it here, but I don't see any indication that the Republican leadership — even Mr. Boehner or Mr. Cantor or Mr. Goodlatte — has any intention of doing something,” Hoyer said. “We will see.”