A search for the decays B-d,s(0) --> gamma gamma in 2.95 million hadronic Z decays has been performed using the L3 detector at LEP. No candidates are found in the signal region and upper limits have been set on the branching ratios: Br(B-d(0) --> gamma gamma) < 3.9 x 10(-5) and Br(B-s(0) --> gamma gamma) < 14.8 x 10(-5) at 90% CL. These are the first limits set on these exclusive rare decays.