An analogue of the Berezin-Toeplitz star product, familiar from deformation quantization, is studied in the setting of real bounded symmetric domains. The analogue turns out to be a certain invariant operator, which one might call star restriction, from functions on the complexification of the domain into functions on the domain itself. In particular, we establish the usual (i.e. semiclassical) asymptotic expansion of this star restriction, and describe real-variable analogues of several other results. This is a joint work with Harald Upmeier (Marburg).