The SINDRUM II spectrometer at Paul Scherrer Institute is used in a se
arch for coherent mu --> e conversion in muonic atoms. We report on a
measurement on lead, which resulted in Gamma(mu(-)Pb --> e(-)Pb(g.s.))
/Gamma(mu(-)Pb capture) < 4.6 X 10(-11) (90% C.L.). This upper limit i
mproves on the previous value by an order of magnitude. Combined with
the limit on titanium, it is interpreted in terms of phenomenological
couplings between the lepton current and the isoscalar and isovector q
uark currents.