The neutralino sector of the semi-constrained next-to-minimal supersymmetric standard model is explored under recent experimental constraints, with special attention to Dark Matter limits. The effects of Dark Matter relic density upper and lower bounds, and recent direct detection constraints on spin-independent and dependent cross-sections, are thoroughly analyzed. Particularly, we show which regions of the parameter space are ruled-out due to the different Dark Matter constraints and the corresponding model-specific parameters: λ, κ, A λ and A κ . Additionally, we analyze all annihilation and co-annihilation processes (with heavier neutralinos and charginos) that contribute to the dark matter relic density. The mass components of the dark matter candidate, the lightest neutralino χ0 1 , are studied, and the decays of heavy neutralinos and charginos, especially χ0 2 and χ+ 1 , into the lightest neutralino are probed. We impose semi-universal boundary conditions at the GUT scale, and require a moderate range of tan β 10. We find that the allowed parameter space is associated with a heavy mass spectrum in general and that the lightest neutralino is mostly Higgsino with a mass range that resides mostly between 1000 GeV and 1500 GeV.