Buda Castle District in Budapest: Time Travel Mystery

You are waiting for a friend when a young man approaches you. He is dressed strangely, wearing baggy harem pants, a white shirt with a black embroidered waistcoat and a turban. He asks you where he can find his master. 

You ask him “who is his master?” He cannot remember. He doesn’t know his name either, but he claims to be a time traveller from the 16th century whose memory has been wiped by the journey. 

He remembers something, a memory of something nearby. You agree to help the nameless traveller recover his identity and his memories. You head off together to unravel the history, relics and secrets of Ottoman Budapest so the nameless man can return to his time and his mysterious master.