  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.
The application to e^+e^- collisions is in progress.
