  Virtual photon scattering in $e^+e^-$ collisions can result in events with
the electron-positron pair at large rapidity separation with hadronic activity
in between. The BFKL equation resums large logarithms that dominate the cross
section for this process. We report here on a Monte Carlo method for solving
the BFKL equation that allows kinematic constraints to be taken into account
and show results for $e^+e^-$ collisions.
