The LAPD did not confirm details about the car or its owner to BBC News.
Officer Charles Miller said an investigation is under way and that detectives believe the impounded car was likely to have been there for “a couple of days”.
The Tesla, which has a Texas licence plate, was towed from the Hollywood Hills after it was abandoned five days earlier.
Local news station KTLA obtained aerial footage of the tow yard, showing a black Tesla with officers huddling around its front trunk.
According to the Los Angeles Times, a head and torso were found in a bag inside the trunk.
The LA County Medical Examiner’s Office said on its website that the remains belonged to a female who was about 5ft 2in and weighed around 70lb (31kg).
Officials were unable to determine her age or race.
But she had wavy black hair and was wearing a tube top and black leggings. A tattoo on her right index finger said, “Shhh…”.
D4vd, 20, known for the viral hits Here With Me and Romantic Homicide, is currently on tour.