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.