  We investigate the correlated predictions of singlet extended MSSM models for
direct detection of the lightest neutralino with its cosmological relic
density. To illustrate the general effects of the singlet, we take heavy
sleptons and squarks. We apply LEP, $(g-2)_\mu$ and perturbativity constraints.
We find that the WMAP upper bound on the cold dark matter density limits much
of the parameter space to regions where the lightest neutralino can be
discovered in recoil experiments. The results for the NMSSM and UMSSM are
typically similar to the MSSM since their light neutralinos have similar
compositions and masses. In the n/sMSSM the neutralino is often very light and
its recoil detection is within the reach of the CDMS II experiment. In general,
most points in the parameter spaces of the singlet models we consider are
accessible to the WARP experiment.
