  We investigate for possible evidence of inverse Compton (IC) emission in the
X-ray afterglow of XRF 050406. In the framework of the standard fireball model,
we show how the late-time flattening observed in the X-ray light curve between
\~10^{4} s and ~10^{6} s can be explained in a synchrotron-plus-IC scenario,
when the IC peak frequency crosses the X-ray band. We thus conclude that the
appearance of an IC component above the synchrotron one at late times
successfully accounts for these X-ray observations.
