"Obviously I am embarrassed to find myself in this situation, and I am profoundly grateful to everyone for their support," Dourdan tells PEOPLE. "I have complete confidence in and respect for the justice system and will cooperate fully with any investigation."

“I am blessed that the Sgt. realized that the luggage carrying whatever they found was not mine and that my tests have been coming back negative.”

Dourdan was found in possession of suspected cocaine, heroin, ecstasy and prescription pills, police say. He posted $5,000 bail and was released.