The extended finite element method (X-FEM) is used as an alternative for the modelling of the bond behaviour between reinforcement and the surrounding concrete in reinforced concrete structures, through either reinforcing bars, fibres or others. The interface of composite materials introduces a discontinuity and, therefore, can be numerically modelled using X-FEM. This method is capable to model discontinuities without modifying the discretization by the addition of new degrees of freedom to the standard finite element approximation. Bond elements (or cohesive elements) are presented in order to be compared with the proposed alternative. The results obtained are also compared to reference solutions, showing a good agreement.