  Recent developments in the computation of two-loop master integrals for
massive Bhabha scattering are briefly reviewed. We apply a method based on
expansions of exact Mellin-Barnes representations and evaluate all planar
four-point master integrals in the approximation of small electron mass at
fixed scattering angle for the one-flavor case. The same technique is employed
to derive and evaluate also all two-loop masters generated by additional
fermion flavors. The approximation is sufficient for the determination of QED
two-loop corrections for Bhabha scattering in the kinematics planned to be used
for the luminosity determination at the ILC.
