Phase relations within the "V2O3-FeO" and V2O3-TIO2 oxide systems were determined using the quench technique. Experimental conditions were as follows: partial oxygen pressures of 3.02 x 10(-10), 2.99 x 10(-9), and 2.31 x 10(-8) atm at 1400 degrees, 1500 degrees, and 1600 degrees C, respectively, Analysis techniques that were used to determine the phase relations within the reacted samples included X-ray diffractometry, electron probe microanalysis (energy-dispersive spectroscopy and wavelength-dispersive spectroscopy), and optical microscopy. The solid-solution phases M2O3, M3O5, and higher Magneli phases (MnO2n-1, where M = V, Ti) were identified in the V2O3-TiO2 system. In the "V2O3-FeO" system, the solid-solution phases M2O3 and M3O4 (where M = V, Ti), as well as liquid, were identified.