Missing Person Squad detectives are investigating the disappearance of Brunswick woman Maryam Hamka.
The 36-year-old was last seen leaving a Woolworths store in Albert Street, Brunswick at 5.30pm on Saturday 10 April at 5.30pm.
Maryam is described to be 165cm tall, with a thin build and long black hair, brown eyes and an olive complexion.
She was last seen wearing a black dress and had told family she was intending to visit a friend in Brighton.
Maryam was reported missing to police on the Thursday 15 April.
Last night, detectives executed a search warrant at a Well Street, Brighton residence and arrested a 45-year-old man.
The Brighton man is currently assisting police with their enquiries.
Detectives are appealing to anyone with information regarding Maryam's whereabouts to contact Crime Stoppers on 1800 333 000 or submit a confidential crime report at www.crimestoppersvic.com.au
