His first surgery was likely "to control life-threatening hemorrhage and limit any contamination from his gastrointestinal tract", Hunt said.
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.
"He's in some trouble, but he's a great fighter and he's going to be OK, we hope", the President said.
His family said in a statement he was showing "positive results" and was expected to make a full recovery.
Capitol Police Officer Crystal Griner also remains at the MedStar Washington hospital after sustaining a gunshot wound to her ankle, but is in "good condition and good spirits" the hospital said. The game will allow "everyone in our community to focus on our kids who need us the most, and giving kids a safe place to go after school is something that we can all agree upon, regardless of party or politics". Yet, his status remains critical and he requires additional operations. "At the request of the family, we will continue to provide periodic updates".
Although Scalise was able to talk on the ballfield, by the time he was transported by helicopter to the hospital, he was in shock.More news: Still critical, Rep. Steve Scalise to undergo more surgeries
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Sen. Jeff Flake of Arizona, who was at Wednesday's practice and gave medical help after the shooting, said it would have "been awful" if the game had been canceled, and said Scalise would want it to go on.
Democrats have won seven of the last eight games, bringing the overall series to an even 39-39-1 (the teams played multiple times in some years).
Representatives on both teams chose to go forward with the game, which got underway at 7 p.m. Before the game, all players bowed their heads for a moment of silence and prayer to honor Scalise.
For the game, which began in 1909, members of the Senate and House of Representatives donned uniforms representing teams from their constituencies, and many topped them with hats from Louisiana State University, Scalise's alma mater, as a tribute.
Scalise was shot Wednesday morning as a gunman sprayed bullets into a GOP congressional baseball practice.
Earlier Friday, House Speaker Paul Ryan paid a visit to his injured colleague, who faces the prospect of a lengthy hospitalization after getting shot in the hip at a baseball practice by a deranged man with grudges against Trump and the GOP.