Comment on "Reappraisal of the Electric Dipole Moment Enhancement Factor for Thallium"

Recent paper by Nataraj {\em et al} (Phys. Rev. Lett. {\bf 106}, 200403 (2011)) presents calculations of the EDM enhancement factor for Tl, which disagrees with previous most accurate calculations. The authors claim that their calculations of Tl EDM are the most accurate due to more complete treatment of higher-order correlations. In this note we argue that this claim is not supported by sufficient evidence. Nataraj {\em et al} also present misleading comments about our calculations. We explain our method and reply to the Nataraj {\em et al} comments.