  We have performed a search for the flavor-changing neutral-current decays B
--> pi l+l-, where l+l- is either e+e- or mu+mu-, using a sample of 230 million
Y(4S)-->BBbar decays collected with the BABAR detector. We observe no evidence
of a signal and measure the upper limit on the isospin-averaged branching
fraction to be BF(B --> pi l+ l-) < 9.1 x 10^{-8} at 90% confidence level. We
also search for the lepton-flavor--violating decays B --> pi e mu and measure
an upper limit on the isospin-averaged branching fraction of BF(B --> pi e mu)
< 9.2 x 10^{-8} at 90% confidence level.
