This data set represents an extension of earlier computations of the internal M2-tide generation  (for mode 1, Pollmann and Nycander, 2023; data set: 10.17882/92304) for the modes 2-10. The methodology is based on linear theory and is explained in Pollmann et al., 2019.  In addition, we address the role of slope criticality in the open-ocean and identify which conversion rate estimates fall into (i) the linear regime, where linear theory is valid; (ii) the weakly nonlinear regime, where linear theory might underestimate, but does not strongly overestimate the nonlinear conversion; (iii) the strongly nonlinear regime, where linear theory might substantially overestimate the nonlinear conversion. Details on the procedure can be found in the associated manuscript (Geoffroy, Pollmann and Nycander, currently under revision for J. Phys. Oceanogr.). Please cite this as well as the papers mentioned above when using this data set. This data set includes the global conversion rate estimates of modes 1-10 below 400m, 700m, and 1000 m depth. We include the uncorrected estimates as well as those in the linear regime (i) and in the regime combining linear and weakly nonlinear conditions (i+ii). The associated masks, also differentiating between ridges and canyons, are also included. Note that there is no weakly nonlinear regime (ii) for canyons and that there is no strongly nonlinear regime (iii) for ridges for the first mode. Conversion rate estimates from topography patches with canyons deeper than the patch mean depth are also masked. For reasons of completeness, we add the mode-1 estimates and the mask for land and continental slopes of Pollmann & Nycander, 2023 (data set: 10.17882/92304).