Density functional method is applied to calculate the disjoining pressure in equilibrium configurations of systems consisting of a liquid film confined between a solid spherical core and a surrounding vapor. The fluid is modeled as a system of hard spheres with Lennard-Jones attraction. Yukawa-type interaction is assumed between the fluid particles and the solid core. The disjoining pressure primarily results from the capillary and film pressure contributions. Considerable deviations from the planar value of the disjoining pressure are found, even for large core particles. The size dependence of the disjoining pressure is caused by the finite size of the core and the weaker total fluid-core attraction compared to the planar wall. The curvature of the liquid-vapor interface has little effect on the disjoining pressure. (C) 2003 American Institute of Physics.