We illustrate the first steps in a cross-section determination for exclusive J/Ψ production in ultra-peripheral heavy ion collisions from two viewpoints. First, the setup for a theoretical calculation is done in the context of the Colour Glass Condensate effective field theory, using the Gaussian truncation to parametrise rapidity-averaged n-point correlators. Secondly, a feasibility study is carried out using STARlight Monte Carlo simulations to predict how many exclusive J/Ψ vector-mesons might be expected in ATLAS at the LHC. In a data set corresponding to 160 μb−1 of total integrated luminosity, about 150 candidate events are expected.