Surfactant adsorption at Solid-liquid interfaces is critical for a number of applications of vast industrial interest and can also be used to seed surface modification processes. Many of the surfaces of interest are nanostructured as they might present surface roughness at the Molecular scale, chemical heterogeneity, as well as a combination of both surface roughness and chemical heterogeneity. These effects provide lateral confinement on the surfactant aggregates. It is, of interest to quantify:how much surfactant adsorbs on such nanostructured surfaces and how the surfactant aggregates vary as the degree of lateral confinement changes. This review focuses on experimental evidence :On selected substrates, including gold and carbon-based substrates, suggesting that lateral confinement can have pronounced Acts both on the amount adsorbed and on the morphology of the aggregates as well as on a systematic study, via diverse simulation approaches, on the :effect of lateral confinement on the structure of the surfactant aggregates. Atomistic and coarse-grained simulations conducted for surfactants on grapheme sheets and carbon nanotubes are reviewed, as well as coarse-grained simulations for surfactant adsorption on nanostructured surfaces. Finally, we suggest a few possible extensions of these studies that could positively impact,a few practical applications. In particular, the simultaneous effect of lateral confinement and of the coadsorption of molecular,compounds within the surface aggregates is expected to yield interesting fundamental results with long-lasting consequences in applications ranging from drug delivery to the design of advanced materials.