Sava said that, while Scalise remains in critical condition, his risk of death is substantially lower now than when he came in. Capitol Police officers in Mr Scalise's security detail returned fire, and Hodgkinson later died from his wounds.
The Congressional Baseball Game - a longstanding bipartisan tradition in which Republicans play Democrats for charity - will take place as scheduled at 7:00 p.m. Thursday evening.
An FBI-led investigation into Hodgkinson (66) was continuing on Thursday.
Republicans and Democrats have swapped political insults for friendly rivalry at their annual congressional baseball game in honour of House of Representatives politician Steve Scalise, critically injured in a shooting rampage.
During the friendly competition, a D.C. -area hospital released the following statement about the condition of Rep. Steve Scalise, who was shot Wednesday while practicing for the game with his colleagues.
"Just because I'm passionate, just because a Republican is passionate about the things they believe in, that's not license for somebody to go take a gun and shoot one of us", Murphy said.More news: 'Brexit talks to start as scheduled despite losing parliamentary majority'
For the second consecutive day, the Louisiana lawmaker continued to fight for his life and authorities continued to investigate the shooting - and the nation braced for every update.
Law enforcement officials also said they are continuing to investigate Hodgkinson and "his activities and social media impressions in the months leading up to yesterday's incident".
An injured police officer has been hailed after preventing a potential massacre in the baseball practice shooting that left top United States politician Steve Scalise in a critical condition.
"By playing tonight, you are showing the world that we will not be intimidated by threats, acts of violence, or assaults on our democracy", Trump said.
Also wounded was former congressional aide Matt Mika, who now works for Tyson Foods in its Washington office.
Mr Trump visited the Louisiana congressman at the hospital on Wednesday night, and Vice President Mike Pence paid a visit on Thursday morning. "But during the game, we're going to play to win, and I know Joe's team is going to do the same thing", Doyle said on Wednesday. "And we thank all the members of Alexandria Fire, Police and Rescue", Trump said.