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Abstract: In the first part of this talk we will explore the connections between the classical sampling theorem in Paley Wiener spaces and the tiling properties of the corresponding spectra. More precisely, we will discuss the connections with the Fuglede's theorem and the Fuglede's conjecture. In the second part, we will talk about the role of the model sets in sampling problems. The model sets were introduced by Meyer to study approximation of algebraic characters by continuous ones in locally compact abelian groups. After the discovery of quasicrystals by Shechtman in the eighties, the model sets became an important tool to describe the diffraction patterns of these new materials.