Different privacy protection mechanisms for biometrics have been suggested in the literature since more than a decade. Many techniques are based on template-level transformation without any secret key like fuzzy commitment scheme and fuzzy vault or with the use of additional secrets, such as cancelable biometrics. In this presentation we will overview the security properties which are usually targeted for such schemes. We will emphasize how an adversary may take benefit of the intrinsic properties of biometric data to go beyond the usual theoretical security bounds. Nevertheless we will also illustrate several schemes on different modalities for which we achieved nice performances. This talk is based on several joint works with various co-authors, in particular Hervé Chabanne and Constance Morel from Morpho, and that have been partially funded by European FP7 projects FIDELITY and BEAT.