  Sources of astrophysical neutrinos can potentially be discovered through the
detection of neutrinos in coincidence with electromagnetic counterparts.
Real-time alerts generated by IceCube play an important role in this search,
acting as triggers for follow-up observations with instruments sensitive to
electromagnetic signals in various wavelengths. In previous studies, we
investigated the treatment of the systematic uncertainties on the
reconstruction method currently used in IceCube's real-time program, concluding
that a new approach, more robust against systematic variations, is needed. Here
we present the state-of-the-art of these analyses, and discuss a modification
to an already-existing and reliable reconstruction method that results in an
improved solution under many metrics. The proposed reconstruction method is
faster, more precise, and significantly less influenced by systematic
uncertainties, than the current one. This system provides a more robust
estimate of angular uncertainties than the previous algorithm, making it a
solid benchmark for real-time event analyses.
