  We revisit the case of a light neutralino LSP in the framework of the MSSM.
We consider a model with eleven free parameters. We show that all scenarios
where the annihilation of light neutralinos rely mainly on the exchange of a
light pseudoscalar are excluded by direct detection searches and by Fermi
measurements of the gamma-flux from dwarf spheroidal galaxies. On the other
hand, we find scenarios with light sleptons that satisfy all collider and
astroparticle physics constraints. In this case, the lower limit on the LSP
mass is 12.6 GeV. We discuss how the parameter space of the model will be
further probed by new physics searches at the LHC.
