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The self-normalised $\psi(2S)$ yields as a function of charged-particlemultiplicity in pp collisions at $\sqrt{s}$ = 13 TeV and p--Pb collisions at$\sqrt{s_{\mathrm{NN}}}$= 8.16 TeV, using the ALICE detector at the CERN LHC,are reported in these proceedings. This measurement represents one of the maintools to understand the role of multiparton interactions and their influence oncharmonium production in small systems, i.e pp and pA collisions. The ratio of$\psi(2S)$-over-J/$\psi$ as a function of charged-particle multiplicity is alsopresented for both pp and p--Pb collisions. The comparison to theoreticalcalculations is reported.

\psi(2S) production as a function of charged-particle multiplicity in pp  collisions at $\sqrt{s}$= 13 TeV and p--Pb collisions at  $\sqrt{s_{\mathrm{NN}}}$= 8.16 TeV with ALICE at the LHC