First version: del Barco et al. submitted recently a comment [arXiv:0812.4070] on our latest Phys. Rev. Lett. [Phys. Rev. Lett. 101, 237204 (2008)], claiming three basic mistakes. We show here that their claims are unjustified and based on erroneous calculations and hasty conclusions. Second version: reply to the modified version of del Barco et al. submitted to Phys. Rev. Lett.