We present the results of a fitter code which aims at extracting Compton Form Factors (CFFs) from DVCS (Deep Virtual Compton Scattering) experimental data, in a largely model-independent way. CFFs are linked to GPDs (Generalized parton Distributions) and are the quantities which are directly measurable. The data that we have analyzed are from JLab and HERMES experiments. We obtain some first important constraints on the $H$ and $\tilde{H}$ CFFs. The kinematical dependences ($x_B$, $t$) of these CFFs provide some new insights on nucleon structure.