In the process of vitrification of high-level wastes the platinum-group elements form at the calcination stage phases which have a limited solubility in the glass melts. If the dissolved part of the platinum-group elements, which at 1200–1300°C does not form more than 30% of their total concentration in the melt [3], is neglected, then apparently it can be assumed that the behavior of the dispersed particles of the platinum-group elements is determined by their thermodynamic stability, interaction with one another, and sedimentation, and the melts of the phosphate and borosilicate glasses play the role of an inert medium. Ruthenium dioxide and the solid solutions based on it, which contain up to 1.5% Ru, Rh, and Pd, are stable up to 1500°C. In the temperature range 1050–1200°C rhodium oxide and the solid solutions based on it, decompose and form metallic rhodium. Metallic palladium apparently forms at 800–900°C.