We use a numerical model to study the deformation of surfactant-covered drops in a confined situation. A boundary-integral method with modified Green's functions, which exactly satisfy the no-slip condition at the wall, is used to solve the flow equations. The resulting velocities are used in the convection-diffusion equation for the surfactant concentration which is handled with a finite volume method. The local surfactant concentration is coupled to the local surface tension via a Langmuir isotherm. The model presented here is three dimensional, but only suited for equi-viscous drops and insoluble surfactants, but can be easily extended. Several examples of the influence of surfactants are shown: for drops in shear flow, surface dilution is of more significance due to the larger deformation of drops in confined situations. For pressure-driven flows, the non-uniform surfactant distribution speeds up the migration towards the center line, while the migration velocity in the velocity direction is lower. (C) 2008 The Institution of Chemical Engineers. Published by Elsevier B.V All rights reserved.