Two modified theoretical models for the spread of a molten metal droplet impinging on a flat solid surface, including considering the solidification, were derived in this study: maximum spread factor and splashing parameter. To simplify the models, we take account of only the physical and thermodynamic properties of the droplet and exclude those of the surface. By employing a solidified-time factor, the maximum spread factor improves its predictive precision to within 11% error compared to experiments, in particular, only 3% error for Reynolds number17,000. In addition, a concise splashing parameter [image omitted] 1.5 gives a prediction of whether the spreading would splash or not. One can modify Reynolds and Weber numbers of an impinging droplet, e.g., regulating the impingement speed, to make its splashing parameter below 1.5 and have a spread without splashing. Simultaneously, the solidified spot size can be predicted by the maximum spread factor. In contrast, raising the splashing parameter can atomize the droplet. These models would be helpful in such areas as thermal spray and powder coating.