For numerical simulations of fluid-structure interaction (FSI) problems, discretized meshes of different compu-tational domains do not have to match at the common interface. Data transfer via the interface is therefore significantly affecting the accuracy of FSI. Implementing data transfer between such pairwise non-matching meshes is challenging, as it is highly desirable to yield numerical accuracy using methods such as interpola-tion or projection. To further improve the data transfer accuracy for mesh-based approaches, this study proposes a feature points-based combined interpolation method by means of Simpson's rule, with which an appropriate weighting coefficient is determined. Moreover, radial basis function (RBF) is employed to perform the inter-polation of scattered data points. The proposed method is validated by a series of examples involving various non-matching mesh configurations in FSI problems. The numerical findings indicate that this method can further improve data transfer accuracy. Even for a critical case with large mesh ratio at the interface it can provide satisfying results.