•NSM CFRP strip was modelled efficiently as embedded reinforcement in cement adhesive.•Developed FE models are able to simulate the experimental aspects accurately.•Developed FE models can be used in the design of NSM CFRP-strengthened RC members. The use of near-surface mounted (NSM) carbon fibre reinforced polymer (CFRP) is a promising technique for strengthening deficient reinforced concrete members. In order to shed further light on this technique, the finite element method (FEM) was used to simulate the bond behaviour between NSM CFRP strips and concrete substrate with cement-based adhesive in single-lap shear tests. Non-linear FEM software ATENA 3-D was used in this study. The developed numerical models can predict the experimental aspects reasonably well and can be used in the design of reinforced concrete members strengthened with NSM CFRP strips.