Differential invariant cross sections of light neutral mesons in p-Pb collisions at \sqrt{s_{NN}}sNN = 8.16 TeV and in pp collisions at \sqrt{s}s = 8 TeV have been measured up to very high transverse momentum (p_TpT). By combining independent reconstruction techniques available in ALICE using the EMCal and PHOS calorimeters as well as the central barrel tracking detectors, the combined spectra cover almost two orders of magnitude in p_TpT~for the \pi^0π0~meson. The nuclear modification factor R_{pPb}RpPb~has been measured for the \pi^0π0~and \etaη~mesons and is found to be consistent with NLO pQCD, CGC and energy loss calculations. Comparisons to the R_{pPb}RpPb~of \pi^0π0~measured in \sqrt{s_{NN}}sNN = 5.02 TeV hint at a stronger suppression at low p_TpT~with increasing collision energy.