The incidents happened around 2:30 a.m. Sunday in a parking structure on Katella Avenue, according to the Anaheim Police Department. Police say a large fight broke out there just before the shooting.
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Authorities also had received multiple calls about someone being run over by a car, but it's unclear if anybody was actually struck.
Responding officers found a man, identified as Deonte Marquis Lenin of Highland, suffering from at least one gunshot wound. The 32-year-old was pronounced dead at the scene.
The second victim, Elian Tanori Arvayo of Phoenix, Arizona, was found in a different part of the structure suffering from blunt force trauma, according to police. The 21-year-old was taken to the hospital where he later died.
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A description of a possible suspect was not available.
Police described the altercation as an isolated incident.
Anyone with information who also may have witnessed the fight is urged to call detectives at (714) 321-3669.