  We study the consequences of high-energy collider data on the best fits to
total, elastic, and inelastic cross sections for $pp$ and $p\bar{p}$ scattering
using two very distinct unitarisation schemes: the eikonal and the $U$-matrix.
Despite their analytic differences, we find that the two schemes lead to almost
identical predictions up to EeV energies, with differences only becoming
significant at GUT-scale and higher energies.
