Senators Mitch McConnell and Rand Paul, Republicans of Kentucky, are recovering at home from medical procedures they had over the weekend, their teams said. Mr. McConnell, the majority leader, fractured his shoulder at his home in Louisville, while Mr. Paul underwent surgery to remove a portion of his lung.
“This morning, Leader McConnell tripped at home on his outside patio and suffered a fractured shoulder,” his spokesman, David Popp, said in a statement on Sunday. “He has been treated, released, and is working from home in Louisville.”
According to the statement, Mr. McConnell had been in contact with Senator John Cornyn of Texas and Senator Rob Portman of Ohio to “express his deepest sympathies for the people of El Paso and Dayton” and to discuss the “tragedies.” Two mass shootings erupted over the weekend in Texas and Ohio less than 24 hours apart, leaving 31 dead and dozens wounded.
Mr. McConnell will “continue to work from home,” the statement said.
It was unclear exactly what treatment Mr. McConnell, 77, had received for his shoulder.
Mr. Paul, 56, announced on Monday that he had surgery over the weekend to remove part of his lung that he said was damaged in a 2017 attack when a neighbor tackled him as he did yardwork.
“Unfortunately, I will have to limit my August activities,” Mr. Paul said on Twitter. “I should be able to return to the Senate in September.” He is recovering at home in Bowling Green, a representative said.
In January, Mr. Paul was awarded $580,000 in damages in a lawsuit he filed against the neighbor, Rene A. Boucher, who pleaded guilty to felony assault last year. In the attack, Mr. Paul suffered broken ribs and came down with pneumonia, which kept him out of Washington for almost two weeks.
The Republicans’ injuries come as Democrats and some Republicans called for Mr. McConnell to bring up legislation to force gun buyers to go through background checks. For his part, Mr. McConnell issued a statement Monday night saying that he had asked three top committee chairmen “to engage in bipartisan discussions” about how to address gun violence “without infringing on Americans’ constitutional rights.”
“Senate Republicans are prepared to do our part,” he said, without specifics.
With Congress in recess, Speaker Nancy Pelosi and Senator Chuck Schumer, the Democratic leader, demanded that Mr. McConnell bring back the Senate — something he is highly unlikely to do — to consider a House background checks bill, which passed in February.
Mr. McConnell is unlikely to act without the approval of President Trump, whose own statements on gun violence have varied.
On Monday during a televised address, Mr. Trump stopped well short of supporting the kind of broad gun control measures that activists and Democrats have sought. He instead opted to highlight longtime Republican alternatives, such as stronger action to address mental illness, violence in the media and in video games, as well as “the perils of the internet and social media,” without acknowledging his own use of those platforms to promote his own brand of divisive politics.
He did not reiterate his earlier request on Twitter for a bipartisan effort to strengthen background checks for prospective gun buyers.
Last week, the Senate ended a session without floor votes on key issues like the high cost of prescription drugs, immigration and infrastructure. Mr. McConnell had previously promised to end gridlock in the Senate.
Mr. McConnell, however, has been successful this year in getting the Senate to approve several of Mr. Trump’s judicial and administration nominees. The Senate has confirmed 13 circuit court nominees and 46 of his district court nominees.
Sheryl Gay Stolberg contributed reporting.