We discuss total cross-sections within the context of the QCD calculable mini-jet model, highlightings its successes and failures. In particular we show its description of γγ→hadrons and compare it with OPAL and L3 data. We extrapolate this result to γp total cross-sections and propose a phenomenological ansätz for virtual photon cross-sections. We point out that the good agreement with data obtained with the Eikonal Minijet Model should not hide the many uncertainties buried in the impact parameter distribution. A model obtained from Soft Gluon Summation is briefly discussed and its application to hadronic cross-sections is shown.