Marco Antonio Garcia immediately fled to Mexico after Sunday's shooting near Carlitos Way Cocktail Lounge in the 15200 block of Victory Boulevard, authorities said.
In a press release issued Friday, police said Garcia was apprehended by Mexican officials, and detectives obtained an arrest warrant for him.
The FBI-LAPD Fugitive Task Force successfully brought Garcia back to Los Angeles, where he will face murder charges for the shooting death of 33-year-old Julio Rodriguez.
Los Angeles police said shots were fired outside the bar after an argument broke out among a group of people. A second person was also shot and was last listed in stable condition.
An investigation was ongoing, and a motive was not yet known.
Anyone with information was urged to contact the LAPD.