Recently, competing random lasing and stimulated Raman scattering mechanisms have been observed for the same gain medium infi ltrated in diffusive silica-based solid foams. Specifi cally, the light transport mean free path t t in such disordered media has been identifi ed to be a parameter of choice to tune the observation of either Raman or random lasing. In this contribution, novel silica-/titania-based solid foams are designed that allow tuning this t t parameter signifi cantly, by one order of magnitude. This being achieved, the transition from "pure" random to "pure" Raman lasing is shown, while going through a state of concomitant existence of both mechanisms. The experimental results are well understood, owing to simulations of a simple 1D diffusive model, which suggests that both gain mechanisms may present a complex interplay, leading to random Raman lasing.