We have studied the strangeness changing antineutrino induced reactionsν l p → l + φB, with φB = K − p,, using a chiral unitary approach. These ten coupled channels are allowed to interact strongly, using a kernel derived from the chiral Lagrangians. This interaction generates two Λ(1405) poles, leading to a clear single peak in the πΣ invariant mass distributions. At backward scattering angles in the center of mass frame,νµp → µ + π 0 Σ 0 is dominated by the Λ(1405) state at around 1420 MeV while the lighter state becomes relevant as the angle decreases, leading to an asymmetric line shape. In addition, there are substantial differences in the shape of πΣ invariant mass distributions for the three charge channels. If observed, these differences would provide valuable information on a claimed isospin I = 1, strangeness S = −1 baryonic state around 1400 MeV. Integrated cross sections have been obtained for the πΣ andKN channels, investigating the impact of unitarization in the results. The number of events with Λ(1405) excitation inνµp collisions in the recent antineutrino run at the MINERνA experiment has also been obtained. We find that this reaction channel is relevant enough to be investigated experimentally and to be taken into account in the simulation models of future experiments with antineutrino beams.