Two men were found shot to death in the Eden Center shopping plaza in Falls Church Saturday night, and police were investigating the case as a possible homicide and suicide.

The men’s identities were not released early Sunday. Falls Church Deputy Police Chief Mary Gavin said the first man was shot about 10 p.m. as he emerged from his car near the Thuy Trang Hair Salon. He ran across the Eden Center parking lot, collapsed and died at the scene, Gavin said.

Police searched for the shooter for about an hour, and then found a man slumped inside a car outside the Cafe Metro, also in the Eden Center, a Vietnamese shopping and entertainment center near the Seven Corners area. He appeared to have died from a self-inflicted gunshot wound, and a gun was found in the car, Gavin said.

Gavin did not know if there were eyewitnesses to the shooting and she did not know the cause of the violence early Sunday morning.