A search for CP violation in D0 → π−π+π0 decays is reported, using pp collision data collected by the LHCb experiment from 2015 to 2018 corresponding to an integrated luminosity of 6 fb(-1). An unbinned model-independent approach provides sensitivity to local CP violation within the two-dimensional phase space of the decay. The method is validated using the Cabibbo-favoured channel D0 → K−π+π0 and background regions of the signal mode. The results are consistent with CP symmetry in this decay.