The High Luminosity LHC (HL-LHC) is expected to commence operation in 2029 with an expected luminosity of 7.5$\times$10$^{34}$ cm$^{-2}$s$^{-1}$. While this luminosity will bring a higher data rate beneficial to the search for interesting physics, it comes with the consequence of a pileup of $\sim$200. These harsher operating conditions will require the upgrade of the trigger system. The track reconstructing algorithms of the Level-1 Trigger for the three Muon Track Finder (MTF) regions (Barrel, Overlap, Endcap) will be developed in order to maintain and possibly improve the current event selection precision. Stand-alone candidates from the outer tracking system will also be taken into account in the decision of the Global Muon Trigger (GMT). The MTF and GMT will be implemented in a custom X2O board.