The aim of the study is to propose a review and establish limits for the production of the Dirac magnetic monopole and monopolium in pp collisions. The mass range used for the monopole is based on the last results of ATLAS and MoEDAL, and the simulations are made for the current LHC anergies and for the energies of the future colliders HE-LHC and FCC. The cross sections are calculated for the usual velocity dependent coupling and the more recent proposed coupling with magnetic moment dependence, and the advantages in using each of the couplings and the monopolium as an indirect measure are discussed.