In this talk, we discuss an approximation of the Laplacian with non-local interface conditions (resembling surface delta' interactions) by Neumann Laplacians defined on a family of Riemannian manifolds. We construct an explicit example of a manifold that realizes any prescribed integral kernel appearing in the interface conditions. This manifold consists of two domains whose boundaries are connected via an array of intertwined passages. We establish a kind of strong resolvent convergence for the associated operators, along with the convergence of spectra, eigenspaces, and corresponding semigroups. Finally, we extend our analysis to similar approximations for Laplacians subject to non-local Robin-type boundary conditions. This is a joint work with Pavel Exner [P. Exner, A.K., arXiv:2505.19016].