Feasibility studies for GPD's measurement at COMPASS

Deeply Virtual Compton Scattering is a clean way to access the Generalized Parton Distributions of the proton. This paper deals with a possibility to perform such an experiment with the COMPASS apparatus which allows to access a large rang in $x_{Bj}$(0.03 to 0.25) and $Q^{2}$(1.5 to 7.5 GeV$^{2}$). A possible design for a recoil detector which is necessary to complement the COMPASS setup, is presented. Preliminary results on exclusive $]rho^{0}$ production from the COMPASS 2002 run are given. They look promising for future studies of deep $\rho^{0}$ production.