Per MedStar Washington, Scalise was shot once in the left hip and suffered injuries to his internal organs as well as bone fractures.
The Medstar Hospital in Washington DC said Wednesday evening that Scalise was in critical condition after undergoing surgery. Those with leadership positions like Scalise have Capitol police with them.
The managers of the Democratic and Republican charity baseball teams said Thursday's game will go on as scheduled.
The House majority whip, 51, is a five-term Republican from Louisiana.
He dragged himself away from the infield, leaving a trail of blood before colleagues could rush to his assistance.
Earlier Thursday, Republican lawmakers met behind closed doors to share reflections and pray. The immediate motive for the shooting has not been fully fleshed out, but Hodgkinson had reportedly expressed strident anti-Republican views on social media and directed particular ire at Trump after he became president.
Capitol Police officers in Scalise's security detail returned fire, and Hodgkinson later died from his injuries.
"Let us not jump immediately into blaming this one or that one", said Rep. Sheila Jackson Lee of Texas. He is regularly decked out "from head to toe" in team gear, a representative for Rep. Roger Marshall, R-Kansas, said Thursday morning.
Among others, Republican Representative Steve King wrote on Twitter that "violence is incited by the leading cultural voices of the Left" and former House Speaker Newt Gingrich cited an "increasing hostility on the left". Two officers were shot, as were congressional aide Zach Barth and lobbyist Matt Mika.
Following a day that saw most congressional business cancelled, the House approved legislation offering health insurance tax credits to some veterans while committees pondered federal land management, cybersecurity and more. Originally from Illinois, Hodgkinson had come to the area in recent months and was living out of a van in the D.C. suburbs and showering at the local Alexandria YMCA.
The man's apparent Facebook page included strong criticism of Republicans and the Trump administration.
Authorities said Wednesday there was not yet a clear motive for the shooting, as the FBI investigated Hodgkinson's associations and social media postings. At least 50 rounds were shot, according to witnesses.
"He was in the outfield", Williams said about Barth during a news conference on Wednesday. We've had a very. very divided country for many years.
Two Capitol police exchanged gunfire with the lone gunman carrying a rifle, congressmen said. Jeff Flake and Rep. Brad Wenstrup, who is a physician, applied pressure to his wound, Flake said.