Between the times of formation of molten pools of reactor materials and subsequent boilup, the radial progression of molten stagnant pools, i.e., crust growth and containment melting, is important to the further progress of a severe liquid-metal fast breeder reactor accident. Containment melt-through times, time evolution of fuel crusts, and time evolution of containment melt fronts are computed for a representative variety of pool conditions by means of a conduction-dominated model appropriate to a stagnant pool. This same model is used for preliminary estimates of conditions required to create molten pools of reactor materials under controlled conditions, in-pile, to study their subsequent boilup.