  We study the interface between soft and hard QCD at high energy and small
momentum transfer. At LHC and SSC energies, we find that a cutoff BFKL equation
leads one to expect a measurable perturbative component in traditionally soft
processes. We show that the total cross section could become as large as 175 mb
(122 mb) and the rho parameter 0.40 (0.25) at the SSC (LHC).
