Pelosi agreed, mentioning that the entire House was supporting Scalise during his recovery.
The alleged shooter, 66-year-old James Hodgkinson, was shot and killed by Capital Police.
Almost every year for more than 100 years, members of Congress from both parties face off in a friendly, but competitive, baseball game.
The 2017 Congressional Baseball Game will be played Thursday evening.
The Congressional Baseball Game Facebook page will also carry a live stream of the game and it will be broadcast on C-SPAN, a spokeswoman for the Congressional Baseball Game said.
"In Washington, we have our disagreements, but we all agree that we are here to serve this nation we love and the people who call it home", Trump said.
"It's been much more hard than people even thought at that time", Trump said in a statement from the White House.
Scalise remains in critical condition in a Washington, D.C. hospital following yesterday's early morning attack during a GOP team baseball practice in Arlington, Virginia.
Injured Capitol Police officer throws out first pitch
Capitol Police Officer David Bailey, wounded in yesterday's attack, throws out the first pitch at the Congressional Baseball Game. Bailey's appearance came as a surprise - British Ambassador Nigel Kim Darroch was originally scheduled to throw the first pitch.
The senior Republican is at the Medstar Washington Hospital Centre with a rifle wound in his left hip that shattered bones, tore organs and caused severe bleeding. "While the president would like to attend the game and show his support for all of these fearless public servants, he has been advised that there is not enough time to follow Secret Service protocols", he said.
Hodgkinson, from IL, died in hospital of gunshot wounds sustained in a gun battle with Capitol Hill police.
The Illinois congressman grew emotional as he described seeing his colleague, Rep. Steve Scalise, lying motionless on the ground.
Trump had visited the hospital where Scalise was being treated on Wednesday night.
The game is one of the most anticipated events of summer in the capital, with Democrats and Republicans splitting the 79 games that have been played over the years 39-39, with one tie.
Speaking before Central American leaders at a prosperity and security conference organized by the State Department and Homeland Security Department here, Pence said he and President Donald Trump were "deeply saddened" when they received the news Wednesday.
Just before the game Thursday night, members of the Democratic and Republican teams knelt together in prayer near second place, where Scalise would have been playing.
"I think anybody that ever played baseball, the dream was to play in a major league stadium", Richmond said previous year.
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