We study the effect of the nucleon meson cloud on predictions of the Monte Carlo Glauber wounded nucleon model for AA, pA, and pp collisions. From the analysis of the data on the charged multiplicity density in AA collisions we find that the meson-baryon Fock component reduces the required fraction of binary collisions by a factor of ∼ 2 for Au+Au collisions at √ s = 0.2 TeV and ∼ 1.5 for Pb+Pb collisions at √ s = 2.76 TeV. For central AA collisions the meson cloud can increase the multiplicity density by ∼ 16 − 18%. We give predictions for the midrapidity charged multiplicity density in Pb+Pb collisions at √ s = 5.02 TeV for the future LHC run 2. We find that the meson cloud has a weak effect on the centrality dependence of the ellipticity ǫ2 in AA collisions. For collisions of the deformed uranium nuclei at √ s = 0.2 TeV we find that the meson cloud may improve somewhat agreement with the data on the dependence of the elliptic flow on the charged multiplicity for very small centralities defined via the ZDCs signals. We find that the meson cloud may lead to a noticeable reduction of ǫ2 and the size of the fireball in pA and pp collisions.