Elastic scattering of 8B and 7Be on a 58Ni target has been measured at energies near the Coulomb barrier. The total reaction cross sections were deduced from Optical-model fits to the experimental angular distributions. Comparison with other systems shows evidence for protonhalo effects on 8B, as well as for neutron-halo on 6He reactions. While the enhancement in the cross section observed for 8B is explained in terms of projectile breakup, in the case of 6He reactions, the particle transfer proces explains the observed enhancement.