  We have updated a recently proposed extension of the Inert Doublet Model. The
extension amounts to the addition of an extra non-inert scalar doublet. The
model thus offers a possibility of CP violation in the scalar sector and a
candidate for the Dark Matter. The recent XENON100 direct-detection experiment
excludes a considerable range of medium-low dark-matter masses, leaving only as
viable very low masses of order 5-10 GeV, as well as the regions from \sim 60
to \sim 110 GeV, and above \sim 530 GeV. For favorable parameter regions one
may observe related long-lived charged particles produced at the LHC.
