MIAMI — Andrew Gillum, one of the Democratic Party’s fast-rising political stars, was in a Miami Beach hotel room early on Friday when emergency workers were called to treat another man suffering from a probable drug overdose, the police said.

By the time the police arrived at the Mondrian South Beach shortly after midnight, paramedics had treated the man, and he was in stable condition. Officers tried to speak to Mr. Gillum but were unable to “due to his inebriated state,” according to an incident report filed by the Miami Beach Police Department. Mr. Gillum was intoxicated and vomiting in the bathroom, according to the report.

The police said they had impounded three small plastic bags “containing suspected crystal meth” that officers saw on both the bed and floor of the hotel room.

“At this time, the incident is not being investigated as a criminal matter,” Officer Ernesto Rodriguez, a department spokesman, said in an email.