We have studied the Dalitz plot of the ee → ππγ events collected at √ s ≃ Mφ with the KLOE detector. In the dipion invariant mass (Mππ) region below 700 MeV, the process under study is dominated by the non-resonant process ee → ωπ with ω → πγ whereas, for higher Mππ values, the radiative φ 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 σ(600). For each model, we extract the f0(980) mass and its coupling to ππ, KK and to the φ.