  We present the first search for low mass WIMPs using the Germanium bolometers
of the EDELWEISS-III experiment. Upgrades to the detectors and the electronics
enhance the background discrimination and the low energy sensitivity with
respect to EDELWEISS-II. A multivariate analysis is implemented to fully
exploit the detector's potential, reaching a sensitivity of 1.6 $\times
10^{-5}$ pb for a WIMP mass of 7 GeV/c$^2$ with a fraction of the data set,
unblinded for background modeling and analysis tuning.
