We present preliminary measurements of the cross sections for e+e- --> KS KL pi0 and KS KL pi0 pi0 obtained using the technique of Initial State Radiation with 469 fb^-1 of e+e- collision data collected with the BABAR detector at or near the Upsilon(4S) resonance. The resonant substructure of KS KL pi0 is investigated, and branching fractions for the decays of the charmonium resonances J/psi and psi(2S) into these final states are measured.