In the field of noncovalent interactions a new paradigm has recently become popular. It stems from the analysis of molecular electrostatic potentials and introduces a label, which has recently attracted enormous attention. The label is σ-hole, and it was first used in connection with halogens. It initiated a renaissance of interest in halogenated compounds, and later on, when found also on other groups of atoms (chalcogens, pnicogens, tetrels and aerogens), it resulted in a new direction of research of intermolecular interactions. In this review, we summarize advances from about the last 10 years in understanding those interactions related to σ-hole. We pay particular attention to theoretical and computational techniques, which play a crucial role in the field.