We aim to determine the initial Li content of two clusters of similar metallicity but very different age, the old open cluster NGC 2243 and the metal-rich globular cluster NGC 104. We compare the lithium abundances derived for a large sample of stars (from the turn-off to the red giant branch) in each cluster. For NGC 2243, the Li abundances are taken from the catalogues released by the Gaia-ESO Public Spectroscopic Survey, while for NGC 104 we measured the Li abundance using FLAMES/GIRAFFE spectra, which include both archival data and new observations.