The density of molecular gas in the central few hundreds parsecs of our Galaxy is estimated to be
two orders of magnitude larger than the Galactic average. This, so called, Central Molecular Zone,
represent a privileged target where to look for a signature of Galactic cosmic ray interactions.
Here we report the diffuse neutrino expectations from this region following a recently introduced
phenomenological scenario. This model reproduces the Fermi-LAT and H.E.S.S. observations of
the central 200 Parsecs without the need of local cosmic-ray accelerators. Once fixed the gas and
source distribution parameters to reproduce the normalization of the gamma-ray observed, we use
the same framework to obtain the neutrino emission from the molecular clouds Sagittarius B and
Sagittarius A and for the whole inner 200 parsecs region. We compare our expectations with the
point-like sensitivity of IceCube for this region of the sky and we consider also possible point-like
contributions due to Supernovae Remnants contained inside this region. Finally we discuss the
future perspectives of the Mediterranean telescopes to characterize the Central Molecular Zone
and the possibility to determine the Galactic cosmic-ray cutoff through the IceCube HESE events.