We analyse the events with two same-flavour, opposite-sign leptons + $E_T^{miss}$ + (jets) as expected in pp collisions at LHC within the framework of the minimal Supergravity Model. The objective is the determination of the parameters m_0 and m_{1/2} of this model (for a given value of $\tan��$). The signature $l^+ l^- + E_T^{miss}$ + (jets) selects the leptonic decays of $\tilde��^0_2$, $\tilde��^0_2 \to \tilde��^0_1 l^+ l^- $, $\tilde��^0_2 \to \tilde{l}_{L,R}^{\pm} l^{\mp} \to \tilde��^0_1 l^+ l^-$. We exploit the fact that the invariant dilepton mass distribution has a pronounced structure with a sharp edge at the kinematical endpoint even in such an inclusive final state over a significant part of parameter space. We determine the domain of parameter space where the edge is expected to be visible. We show that a measurement of this edge already constrains the model parameters essentially to three lines in the ($m_0, m_{1/2}$) parameter plane. We work out a strategy to discriminate between the three-body leptonic decays of $\tilde��^0_2$ and the decays into sleptons $\tilde{l}_{L,R}$. This procedure may make it possible to get information on SUSY particle masses already with low luminosity, L_{int}=10^3 pb^{-1}.

30 page latex file including 19 PCX figures