Aimed at understanding the evolution of galaxies in clusters, the GLACE survey is mapping a set of optical lines ([OII]3727, [OIII]5007, Hbeta and Halpha/[NII] when possible) in several galaxy clusters at redshift around 0.40, 0.63 and 0.86, using the Tuneable Filters (TF) of the OSIRIS instrument (Cepa et al. 2005) at the 10.4m GTC telescope. This study will address key questions about the physical processes acting upon the infalling galaxies during the course of hierarchical growth of clusters. GLACE is already ongoing: we present some preliminary results on our observations of the galaxy cluster Cl0024+1654 at z = 0.395; on the other hand, GLACE@0.86 has been approved as ESO/GTC large project to be started in 2011.