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In this technical note we consider the multi-agent rendezvous problem and we state new sufficient conditions for characterizing the control policies that assure rendezvous. Our condition are less restrictive than those presented until now in the literature, since, in particular, continuity is substituted by a milder requirement concerning the behavior of the control laws around points of discontinuity. In addition, our results apply to groups of agents moving in ??n, for any finite n.