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.