Laura Lopez Coupled Dark matter-Dark energy models: Instabilities and Confrontation to data. In my talk, I will present our recent work on Coupled Dark matter-Dark energy model (still in press). I will show the results of our analysis of background and first order perturbation evolution equations. In particular, we clarify the origin of early time non-adiabatic large scales instabilities, and point out a viable class of model in which the interaction in directly proportional to the dark energy density. We confront that model to recent cosmological data and show the correlations between the dark coupling and several cosmological parameters.