  We explore the parameter space of a variant of the SLIM model, which extends
the SM with a singlet and a doublet of complex scalars and two generations of
right-handed neutrinos, the lightest of which has a mass in the MeV to GeV
region and plays the role of Dark Matter candidate. We impose the current
collider and astrophysical constrains, as well as bounds from Lepton Flavour
Violating experiments. We also consider the discovery potential in the XENON
experiment exploiting the electron recoil as a possible direct detection
signal. Despite the DM in this model being leptophilic, the predicted cross
sections are too low due to the heavy charged mediator.
