A search for the decays B-s(0) -> e(+)e(-) and B-0 e(+)e(-) is performed using data collected with the LHCb experiment in proton-proton collisions at center-of-mass energies of 7, 8, and 13 TeV, corresponding to integrated luminosities of 1, 2, and 2 fb(-1), respectively. No signal is observed. Assuming no contribution from B-0 -> e(+)e(-) decays, an upper limit on the branching fraction B(B-s(0) -> e(+)e(-)) < 9.4(11.2) x 10(-9) is obtained at 90(95)% confidence level. If no B-s(0) -> e(+)e(-) contribution is assumed, a limit of B(B-0 -> e(+)e(-)) < 2.5(3.0) x 10(-9) is determined at 90(95)% confidence level. These upper limits are more than one order of magnitude lower than the previous values.