This is a case report on a 33-year-old man who had a right orbital tumour which was thought to be a cavernous hemangioma clinically and at the time of surgery. This tumour was shown to be hemangiopericytoma of borderline grade on histological study. The purpose of this paper is to present this rare orbital tumour, especially amongst Asians, which may seem benign at presentation. A review of the literature is done with emphasis on its malignant potential and the recommended mode of treatment.