  The measurement of nuclear generalized parton distributions (GPDs) in hard
exclusive processes, such as deeply virtual Compton Scattering (DVCS), will be
one of the main achievements of a new generation of experiments at high
luminosity, such as those under way at the Jefferson Laboratory (JLab) with the
12 GeV electron beam and, above all, those planned at the future Electron Ion
Collider. The CLAS collaboration at JLab has recently demonstrated the
possibility to disentangle the two different channels of nuclear DVCS, the
coherent and incoherent ones, a first step towards the measurement of GPDs of
nuclei and of bound nucleons, respectively, opening new exciting perspectives
in the field. In this scenario, theoretical precise calculations, ultimately
realistic, become mandatory. Light nuclei, for which realistic studies are
affordable and conventional nuclear effects can be safely estimated, so that
possible exotic effects can be exposed, play an important role. The status of
the calculation of GPDs for light nuclei will be summarized, in particular for
$^3$He and $^4$He, and some updates will be presented. The prospects for the
next years, related to the new series of measurements at future facilities,
will be addressed.
