Authorities have said Scalise, the third-highest ranking Republican in the House, was shot by James Hodgkinson, an IL man who was apparently angry about Trump's election and policies the GOP is pursuing.
Scalise's alma mater is reportedly helping make the tribute possible.
In a national address, Trump appealed for unity following the morning assault in the Washington suburb of Alexandria, Virginia.
Four people were shot including House Majority Whip Steve Scalise of Louisiana who is still listed in critical condition. He underwent immediate surgery, and an additional procedure to stop bleeding. Officers in Scalise's security detail wounded Hodgkinson, who was taken into custody and later died.
Trump is also crediting the congressman for bringing people together.
"The president entered the room, spoke with Scalise's family members and sat by his bedside with Mrs. Trump", Press Secretary Sean Spicer said, describing the scene in the intensive care unit as emotional. Scalise was shot Wednesday, June 14, 2017, at a congressional baseball practice in Alexandria, . "Pray for Steve!" Trump tweeted.
The FBI said it had recovered and was processing a cellphone, a computer and a camera.
Shortly after the shooting, Bernie Sanders, the former candidate for the Democratic presidential nomination, said on the Senate floor that the shooter apparently was a volunteer for his campaign a year ago. Investigators are still studying James T. Hodgkinson's social media profile and activities leading up to the attack.
"At one point in time, just for me, utter disbelief and intense fear", Fleischmann said.
Sanders swiftly responded to reports the suspect had volunteered on his presidential campaign. "I'm prayerful he will pull through, and I hope he does", he said.
"Let me be as clear as I can be".
Kershaw wins, Bellinger hits 2 homers as Dodgers top Indians
He has been more inconsistent than usual this year and missed almost a month on the disabled list with a back injury . During the Dodgers' six-game winning streak, the team has scored 17 of their 36 runs in the eighth or ninth innings.
An Illinois congressman who was at bat when a gunman attacked a group of GOP lawmakers and aides at baseball practice said in a TV interview Thursday that the ordeal is "still surreal".
Congressman Tim Ryan played for the Democratic team. Barton said his son, Jack, got under an SUV.
"America is praying for you and America is praying for all of the victims of this awful shooting", he said.
As gun control advocates eyed the challenging political reality, the powerful National Rifle Association made clear it was not backing off.
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.
Congressman Rodney Davis told CNN he was at the plate at the time, and Scalise was in the field at second base. "The next thing I remember was somebody on the field yelling, 'Run, he's got a gun'". He also had an arrest record that included charges for drunken driving, resisting a police officer, domestic battery and damaging property.
Lawmakers took cover in the dugout.
Rep. Jeff Duncan of SC said he had just left the practice and encountered the apparent gunman in the parking lot before the shooting.
"I'm shaken up", Duncan said.
He was born in New Orleans and served in the Louisiana State Senate and State House of Representatives from 1996 to 2008, when he was elected to the House in a special election to replace Bobby Jindal, who had become governor.
"We had nothing but baseball bats to fight back against a rifle with", Alabama Rep. Mo Brooks said.
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