The wall-bounded two-phase turbulent flow with the dispersed heavy particles is modelled in the Eulerian-Lagrangian approach. The large-eddy simulation (LES) method with near-wall resolution is applied to compute the dynamics of the continuous phase (fluid). The particle tracking with account for drag and lift is used for the dispersed phase. A stochastic model for the residual fluid velocity along particle trajectories is used to account for the subgrid-scale (SGS) particle dispersion. Results for the fluid and particle velocity statistics are presented. In the case of particles undergoing deposition on the channel walls, the separation velocity curve, resulting from several variants of modelling, is presented and discussed.