The presence of a large flux of photons accompanying relativistic heavy ion beams leads to a significant number of photon-induced processes, including photon-photon fusion. These processes are remarkably clean with little or no remnant activity from the interacting particles. This document presents the status of photon-photon fusion measurements resulting in either two photons ($\gamma\gamma \rightarrow \gamma\gamma$) or two charged leptons ($\gamma\gamma \rightarrow l^{+}l^{-}$) in the final state, as measured by the ATLAS and CMS experiments in ultra-peripheral heavy-ion collisions.