Police said the incident took place between 7:40 and 7:55 p.m. between the 7200-block and 7300-block of South May Street.
Police said a girl was walking down the street when police said a man in a silver Chevy Malibu pulled up and offered to smoke with her in his car.
The car has a broken passenger headlight.
The girl got away by walking to a friend's house nearby.
Police said the man circled the block several times.
Anyone with information is asked to contact Area One Detectives at 312-747-8380.
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