Mohammed Jama Mohammed, from Bromley, was last seen at Croydon University Hospital at 9am on Sunday, June 26.
When he was last seen Mohammed was seen wearing blue jeans, a red shirt, a black leather jacket, a black beanie-style hat and black shoes.
Mr Mohammed also had a cannula, a thin tube inserted into his vein, in his left arm.
He is described as being 5ft 7ins and being of a slim build.
Mr Mohammed suffers from epilepsy, walks with a limp and has difficulty communicating.
Anyone who has seen Mohammed is asked to call Bromley police on 101.
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