Vacuum sintering of metal powders under controlled heating conditions belongs to the traditional powder technologies
employed to obtain dense composite materials. Despite the long history of studies on sintering processes, modeling in
this area remains relevant since it provides deeper understanding of the associated physical phenomena. In the present work, we studied a two-component powder pressing system melting model based on the multiphase filtration theory that takes into account the differences in the melting temperatures of the components. The appearance of the liquid phase was modeled by introducing a melting temperature interval. An algorithm for the numerical realization of the model was developed. Employing a titanium-aluminum as an example, we demonstrate that even a temperature field with weak inhomogeneity can cause an inhomogeneous velocity field and redistribution of the fusible component.