The initial magnetic susceptibility χ, the thermoremanent (TRM) and isothermal remanent (IRM) magnetizations have been measured below 10 K on single crystals of (Ti1−xVx)2O3 for 0.007<x<0.076. The data show a spin glass behavior in the whole concentration range, with peaks in the curve χ (T). A strong anisotropy is found for all magnetic properties. The anisotropy found in the height of the susceptibility peak, and the anisotropy of the TRM and IRM curves, indicate that the peak is closely related to irreversible magnetic phenomena. It is also shown from the concentration dependence of the magnetic properties that the system is metallic or semimetallic throughout the explored concentration range. These data establish that the anomaly in the low temperature specific heat of these compounds, reported elsewhere, is mainly due to the spin glass properties.