Recently the semileptonic decays B --> X(s)e(+)e(-), B --> X(s)mu(+)mu(-) i
n generic supersymmetric extensions of the Standard Model have been studied
in ref. [I]. In this talk I review the main points of this analysis. SUSY
effects are parameterized using the mass insertion approximation formalism
and differences with MSSM results are pointed out. Constraints on SUSY cont
ributions coming from other processes (e.g. b --> s gamma) are taken into a
ccount. Chargino and gluino contributions to photon and Z-mediated decays a
re computed and non-perturbative corrections are considered. We find that t
he integrated branching ratios and the asymmetries can be strongly modified
. Moreover, the behavior of the differential Forward-Backward asymmetry rem
arkably changes with respect to the Standard Model expectation.