Scalise has received two surgeries for his injuries since Wednesday, including a surgery on Thursday in orthopedic trauma to fix a broken bone in his leg. Sava said Scalise remains in the Intensive Care Unit in critical condition.
"I was surprised by some of the reports also", Sava said.
So far, investigators have not linked Hodgkinson to any radical groups, said a law enforcement official who spoke on condition of anonymity.
Pence praised their heroism, echoing many others who have said that the tragedy could have claimed countless lives had they not been there and acted swiftly.
Scalise's office released a statement from his wife, Jennifer, thanking people for their support and praising the two Capitol Police officers, Crystal Griner and David Bailey, who were injured while bringing down the gunman.
Doctors expect Mr Scalise will eventually be able to walk and return to work at "full capacity".
"It's been much more hard than people even thought at the time", Trump told reporters at the White House on Thursday, adding he also visited the wounded Capitol Police officer at the hospital.
The Louisiana Republican is recovering from "substantial damage" he suffered when a bullet pierced his left hip and traveled directly across to the other hip, Dr. Jack Sava of MedStar Washington Hospital Center said Friday.
Since then, the lawmaker has undergone multiple surgeries and procedures to stop the bleeding and fix bone.
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He alleged that for almost six decades, the Cuban people had suffered under the Communist domination. He added, "The profits from investment and tourism flow directly from the military".
Rep. Scalise was one of several individuals who suffered gunshot wounds when James Hodgkinson of IL opened fire on Republicans practicing for the game in Alexandria on Wednesday morning.
When Scalise arrived in the hospital, he had an "imminent risk of death" and was "as critical as you can be", doctors also said.
ALEXANDRIA, Va. (AP) - For three months, James T. Hodgkinson lived out of a white cargo van ...
The doctor said Scalise was in shock and near death because of extensive blood loss when he arrived at the hospital by helicopter Wednesday.
Members of the Republican team pray before the Democrats and Republicans face off in the annual Congressional Baseball Game at Nationals Park in Washington, U.S., June 15, 2017.
"We had nothing but baseball bats to fight back against a rifle with", Representative Mo Brooks told CNN. Two lawmakers who were leaving practice when they encountered Hodgkinson before the shooting believe he was targeting Republicans.
Speaking earlier Friday in Miami, Trump said Scalise "took a bullet for all of us" when he was shot.
A huge ovation came from the crowd, which swelled to a record 24,959, when Special Agent David Bailey, one of the Capitol Police officers injured in the attack on Republicans at their ball practice in Virginia, threw out the first pitch.
The shooter was identified as James T Hodgkinson, a 66-year-old home inspector from IL who had several minor run-ins with the law in recent years and belonged to a Facebook group called "Terminate the Republican Party".
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