This document reviews the possibilities of a J/Psi-->ee trigger in the forward region for the upgrade D\O detector. We propose algorithms for both the Level 1 (L1) and the Level 2 (L2) triggers. The present algorithms are based on the combination of the End Calorimeter (EC) and the Forward Pre-Shower (FPS) information. Because of the limited coverage of the tracking system, the use of track information has not been considered so far. The performance of these algorithms have been determined in terms of J/Psi selection efficiency and QCD trigger rates, using Monte Carlo samples. The events used have been fully reconstructed through the upgrade version of GEANT, including a full simulation of the Forward detector, the inner trackers (CFT and SVT), as well as the calorimeter. We find that a trigger efficiency around 4-10$\%$ can be achieved for J/Psi's in the forward pseudo-rapidity region $\rm 1.5 \le \eta$. For these numbers, trigger rates are expected to be of the order of 1~kHz at Level 1, and below 100 Hz at level 2 for an instantaneous luminosity of $L= 2\times 10^{-32}.cm^{-2}.s^{-1}. With an integrated luminosity of 2 fb$^{-1}$, this corresponds to about 1,500 events coming from Bd-->J/Psi + K^o_s (and Bdbar) decays.