We report on a search for the decays J/Psi -> D-s(-) e(+)ve+c.c., J/Psi -> D(0)e+e+c.c., and J/Psi -> D(0)e(+)e(-)+c.c. in a sample of 5.8x10(7) J/Psi events collected with the BESII detector at the BEPC. No excess of signal above background is observed, and 90% confidence level upper limits on the branching fractions are set: B(J/Psi -> D-s(-) e(+)v(e)+c.c.) < 4.9 x 10(-5), B(J/Psi -> D(-)e(+)v(e) + c.c.) < 1.2 x 10(-5), and B(J/Psi -> D(0)e(+)e(-) + c.c.)...