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.
Scalise is still under sedation but Sava says he has responded to family members.
Although Scalise was able to talk while lying injured on the ball field, he had gone into shock by the time he was transported by helicopter to the hospital and arrived "in critical condition with an imminent risk of death", Sava said.
Doctors said the bullet traveled across his pelvis fracturing bones and injured internal organs, causing the loss of a lot of blood.
The shot fired at Scalise left perhaps hundreds of bullet fragments internally, many of which may never be removed because surgery might be more risky than leaving them in place, Sava said.
A congressional women's softball team has hit the practice field in Washington amid heavier security, a day after an attacker opened fire on Republican lawmakers practicing for a charity baseball game.
Authorities say they are examining a cell phone, a computer and a camera found inside a white van where the gunman who wounded a top Republican congressman and several others had been living.
The shooting occurred at a popular park and baseball complex in Alexandria, Virginia, across the Potomac River from Washington, where Republican lawmakers and others were gathered for a morning practice about 7 a.m.
President Trump to bring back harsher restrictions on travel to Cuba
Trump will not go so far as to sever diplomatic ties with Havana or shutter the US embassy that reopened there in 2015. The new Trump policy will also prohibit most commercial transactions that allow money to flow to the Cuban military.
Zack Barth, an aide to Texas Rep. Roger Williams, was also shot but was treated and released from a hospital.
"Both were purchased by the shooter from federal firearms licensees", the Capitol Police said in a statement.
Scalise has undergone multiple surgeries and he is expected to need more surgeries.
Sue Hodgkinson says she saw no signs her husband was planning violence, didn't know what to say about it and wanted her family and neighbors left alone.
President Donald Trump and his wife, Melania, visited with Scalise late Wednesday.
Votes were canceled in the House on Wednesday, but on Thursday they were taking place.
The deciding factor will probably be Louisiana Democrat Cedric Richmond, who may be the best to have ever played in the game.
Scalise was among five people wounded when a shooter sprayed rifle fire at congressional Republicans practicing on a diamond in Alexandria.