Two cases of extraserosal solitary fibrous tumour occurring in the orbit and in the meninx are described. The orbital tumour contained, besides the well known features of this entity, nuclear palisading resembling rudimentary Verocay bodies which are considered typical of nerve sheath tumours. In the meningeal case there was close resemblance to fibrous meningioma and meningeal haemangiopericytoma. However, the tumour cells in both cases were negative for immunohistochemical markers of neural and meningeal differentiation (S-100 protein, neuron-specific enolase, glial fibrilary acidic protein, myelinic basic protein, Leu-7, epithelial membrane antigen) and reacted diffusely with CD34, CD99 and vimentin. The finding of nuclear palisading in one case reflected the great morphologic variability of extraserosal solitary fibrous tumour and might be misinterpreted as a feature of neurogenic tumour.