A search for the decays B-d,s(0) --> gamma gamma in 2.95 million hadro
nic Z decays has been performed using the L3 detector at LEP. No candi
dates 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 B
r(B-s(0) --> gamma gamma) < 14.8 x 10(-5) at 90% CL. These are the fir
st limits set on these exclusive rare decays.