The processes leading to expansion of a vapor-gas cloud produced by the action of laser radiation on a refractory particle are considered. Cooling of the vaporized substance due to the expansion causes the overcooling of vapor and its partial condensation. However, the overcooling does not disappear completely and differs somewhat from zero value that corresponds to the saturation state. This difference is most significant in the case with small particles. We propose a criterion for determining the starting point at which an essential deviation from the saturation state occurs.