The left-wing gunman who on Wednesday shot at Republican members of Congress at a baseball practice — critically wounding House Majority Whip Steve Scalise of Louisiana — had in his possession when he opened fire a list of names, according to a report.

James Hodgkinson, 66, was carry­ing a handwritten note with six names and descriptions, sources told Washington, DC, ­radio station WTOP.

It’s unclear if the names were more of his ­intended targets.

The names included Republican Reps. Scott DesJarlais (Tenn.), Trent Franks (Ariz.), Jeff Duncan (SC), Jim Jordan (Ohio), Mo Brooks (Ala.) and Morgan Griffith (Va.), according to Fox News.

The FBI said Friday that law-enforcement agents were still processing evidence in order to “assess the potential motivations of the single shooter.”

“According to [the Bureau of Alcohol, Tobacco, Firearms and Explosives] weapons traces of the 9mm handgun and 7.62mm rifle found at the scene were legally purchased by the shooter with federal licenses,” the FBI said in a statement.

Scalise was shot in the hip and several others were wounded when Hodgkinson sprayed dozens of bullets onto a baseball field at Eugene Simpson Stadium Park in Alexandria, Va. The gunman since March had been living out of a white van and a YMCA near the park.

Meanwhile, it was revealed Friday that Scalise had been fighting for his life when he arrived at a Washington, DC, hospital.

“When he arrived, he was in critical condition with an imminent risk of death,” Dr. Jack Sava, director of trauma at MedStar Washington Hospital Center, said at a press conference Friday ­afternoon.

While the congressman was still awake immediately after the shooting, he went into shock as he was rushed via helicopter to the hospital, according to Sava.

Scalise was still in critical condition Friday night and faces several additional surgeries, but doctors said they were “encouraged” by his progress.

“We have controlled the internal bleeding and his vital signs have stabilized,” Sava said.

“I think that an excellent ­recovery is a good possibility,” he added.

Investigators believed Hodgkinson did not have any outside support and acted on his own, Fox News reported.

The gunman had a history of run-ins with the law, including arrests for battery and drunken ­driving.

Hodgkinson had been living out of his van for months and was seen showering and using computers at the nearby YMCA.

Last year, he had volunteered for Bernie Sanders presidential campaign.

With Post Wire Services