In a strong-coupling picture of ElectroWeak Symmetry Breaking, a composite electroweak- neutral state in the TeV mass range, carrying a global (quasi-)conserved charge, makes a plausible Dark Matter (DM) candidate, with the ongoing direct DM searches being pre- cisely sensitive to the expected signals. To exploit the crucial interplay between direct DM searches and the LHC, we consider a composite iso-singlet vector V , mixed with the hyper- charge gauge eld, as the essential mediator of the interaction between the DM particle and the nucleus. Based on a suitable eective chiral Lagrangian, we give the expected properties and production rates of V , showing its possible discovery at the maximal LHC energy with about 100 fb1 of integrated luminosity.