The paper investigates a specific behavior of foam films: lamellae confined in a cylindrical prewetted pore. Since both the lamella and wetting film are ultrathin (100 nm), classical thermodynamics is generalized to account for the effects of intermolecular forces. The conditions of coexistence of a lamella and wetting films are established. The problem of lamella motion is considered as a free boundary problem. The theory predicts three sliding regimes, depending on the priority of viscous, long-range surface, and capillary forces. At low speeds, the long-range surface, and capillary forces dominate the viscous one. The friction force acting on the lamella is then proportional to the speed. The pressure drop required to keep the lamella moving can be of the same order of magnitude as the critical pressure drop for lamella rupture.