The EDELWEISS collaboration searches for light Dark Matter (DM) particles using germanium detectors equipped with a charge and phonon signal readout. To circumvent the problem of the large background of events with no ionization signal ("Heat-Only" events) that limits the sensitivity of our detectors equipped with Ge-NTD sensors, the collaboration has tested the use of NbSi Transition Edge Sensors (TES). A moderate reduction has been observed and further improvements have been more recently obtained by exploiting the phonon yield from the Neganov-Luke-Trofimov (NTL) effect to better resolve electron recoils from HO events. These results pave the way for a new detector design, named CRYOSEL, that is being optimized for such a discrimination. The first results obtained with an early prototype are presented.