  We report the main results of a paper where recent data of low-energy
cosmic-ray $\bar p$ spectrum have been analyzed in terms of newly calculated
fluxes for secondary antiprotons and for a possible contribution of an exotic
signal due to neutralino annihilation in the galactic halo. We also present the
results of a paper in which we have proved that a sizeable fraction of the
supersymmetric neutralino configurations, singled out by the DAMA/NaI data on a
possible annual modulation effect in WIMP direct search, may provide detectable
cosmic-ray antiproton signals.
