The attack happened June 20 along the 14700 block of Parthenia Street, according to the Los Angeles Police Department.
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New video released Friday shows a man in a red shirt running toward the victim and stabbing him while he was on the ground.
Before the incident, authorities say the suspect tried to pick a fight with the victim inside a video store.
"During the fight, the victim's ankle was fractured which caused him to be unable to stand," according to a news release.
The suspect walked away, but then returned with a knife and attacked the already injured victim as he sat on the ground outside, police said. The victim was taken to the hospital in critical condition.
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The suspect is described as Hispanic, about 30 years old, about 5 feet, 11 inches tall and 150 pounds, with long brown hair.
Anyone with information about the attack is asked to call Mission Area detectives at (818) 838-9830 or Crime Stoppers at (800) 222-TIPS (8477).