In the recent past, several sensors have been developed which allow continuous glucose monitoring (CGM) for several days. CGM can improve diabetes management and in particular decrease the risk of hypoglycemic events. However, CGM sensors measure glucose concentration in the interstitial fluid (ISF) rather than in plasma and ISF lags plasma glucose. The purpose of this work is to investigate if plasma glucose can be reconstructed from ISF CGM data by using a deconvolution approach, based on the knowledge of the model of plasma-interstitium kinetics. Results obtained in 6 volunteers monitored for 2 days with simultaneous plasma and ISF glucose by the Freestyle Navigator CGM sensor measurements show that calibration is a critical component for a reliable reconstruction of plasma glucose from ISF data.