We present a summary of the talks given during parallel session III, “Oscillations at high energies”, at the NOW 2014 workshop. The session included talks on the latest experimental results and the current status of MINERvA, ArgoNEUT, MICE, NA61 and OPERA. The main goals and expected sensitivity of nuSTORM to sterile neutrino oscillations was also presented. Prospects for the current (T2K, NOvA) and future generation of neutrino oscillation experiments (LBNF, LBNO, ESSνSB, PINGU, JUNO and INO) were also presented, focusing on their sensitivities to leptonic CP violation and the ordering of neutrino masses. The current knowledge of the size of the elements of the neutrino mixing matrix (without assuming it is unitary) was also reviewed. Finally, the session also included talks on the impact of non-standard neutrino interactions on the determination of the neutrino oscillation parameters, as well as on possible models for leptogenesis which could account for the matter antimatter asymmetry of the Universe.