This chapter highlights the recent advances in free-surface flows. The governing equations and the boundary conditions associated with free-surface flows involving multiple fluids have been discussed. It is interesting to note that the kinematic boundary conditions are not explicitly applied at the interfaces. A brief review of the numerical methods deployed to investigate the interfacial flows is given. This is followed by the discussions of few examples of free-surface flows involving interesting dynamical scenario and underlying intricate physics. This is a vast and emerging area of research. Several researchers have contributed on different aspects of interfacial flows for about a century. Thus, it is difficult to do justice to all the previous studies in a short review. In this chapter, we mainly review the research work we have been involved with in this subject. © Springer Nature Singapore Pte Ltd. 2021.