  We have studied the Dalitz plot of the e+ e- --> pi0 pi0 gamma events
collected at SQRT(s) ~ M(phi) with the KLOE detector. In the dipion invariant
mass (Mpp) region below 700 MeV, the process under study is dominated by the
non-resonant process e+ e- --> omega pi0 with omega --> pi0 gamma whereas, for
higher Mpp values, the radiative phi decay to the f0(980) is the dominant
mechanism. Different theoretical models are used to fit the Dalitz plot, taking
also into account a possible contribution of the sigma(600). For each model, we
extract the f0(980) mass and its coupling to pipi, KKbar and to the phi.
