Volume Preserving Mean Curvature Flow is the non-local geometric evolution
equation  describing the (formal) $L^2$-gradient flow of the area functional restricted to sets with prescribed volume. Since, even for
 smooth initial data, singularities form in finite time, it is of certain interest to find a notion of weak solution.
 In my talk I will present some new results about the existence of weak
solutions obtained as limits of a time discretization of the flow. (This is joint work with C. Seis and E.N. Spadaro).