We have investigated the charmonium survival probability, in a high baryon
density parton plasma, expected to be produced in nuclear collisions at FAIR.
Charmonia are assumed to undergo complete dissociation by color screening, if
the in-medium Debye radius becomes comparable to the spatial size of the
corresponding bound state. Results indicate a non-trivial dependence of the
suppression pattern on the plasma evolution dynamics. A much larger magnitude
of suppression is foreseen induced by cold nuclear matter compared to that due
to plasma screening