Surf-riding can negatively affect ship’s directional stability, therefore it remains worth investigating. Although surf-riding in regular waves is well understood, studying it in fully irregular seas remains challenging to date. A crucial step towards understanding of ship behavior in irregular waves is an exploration of the ship response in bi-chromatic waves, which bridges the gap between regular and irregular conditions. This study investigates the application of linear and non-linear Froude-Krylov forces modelling for surging and surf-riding response in bi-chromatic following seas. Three modelling approaches have been utilised: 1 DoF strip model, 1 DoF panel model and 3 DoF panel model. All the models proved to produce qualitatively similar results with some relatively limited quantitative variations. The next research step would be comparing the numerical results with towing tank experimental records in order to draw further conclusions on the applicability of the studied modelling methods.