Low-energy pion-kaon and pi pi -> K Kbar scattering is crucial for the understanding of many areas of hadronic physics. It appears as a final state in many hadronic processes with net strangeness, it could also determine part of the spectrum of strange resonances involved as intermediate states, it is an important test to SU(3) Chiral effective theories,  and it also plays a crucial role in some CP violating processes. We review our recent analysis for both scattering channels implementing analyticity and crossing symmetry through dispersion relations. We provide a simple set of parameterizations that describe at the same time the data and the dispersion relations. We also give an updated estimate of the high energy asymptotic parameters. We compare our low energy scattering length predictions with ChPT and Lattice values. Finally, we present an analytic determination of the parameters of the strange resonances appearing in this channel.