Two recently proposed mixing diagnostics are used to estimate the surface irreversible mixing over the global ocean. These two novel diagnostics, defined in terms of the local Lagrangian dispersion diffusivity and local effective diffusivity, respectively, have the following advantages: 1) reconcile the theoretical discrepancies between Eulerian-, particle-, and contour-based diffusivities; 2) do not rely on the stationary and homogeneous assumptions of the turbulent ocean. Our results show that evident discrepancies between these three types of diffusivities do arise when traditional estimates are used, but could greatly be reduced once the new diagnostics are used, suggesting that the three types of diffusivities are fully reconciled in a global context. Moreover, finescale mixing structures and transient elevated mixing events due to eddy shedding and wave breaking can be clearly identified by the two new diagnostics, in contrast to previous estimates that are spatially and/or temporally smoothed. Our study presents a novel revisit of the global surface mixing induced by geostrophic eddies with an emphasis on irreversibility, and provides new insights into previous questions regarding to different mixing diagnostics in the community.