Besides the most common form of aromaticity involving a π‐ring, hexaiodobenzene and hexakis(phenylselenyl)benzene dications also present σ‐aromaticity in the outer ring formed by the main group substituents. These two compounds are considered σ‐ and π‐double aromatic, and their characterization is of special interest to the fields of organic and structural chemistry. In this work, we decided to explore the double aromaticity in substituted tropylium cations for three reasons: (i) the seven neutral halogen substituents of the tropylium cations will, without oxidation, lead to 14 σ‐electrons (a 4n + 2 Hückel number); (ii) tropylium cations are highly stable and can be easily generated experimentally; and (iii) whereas in substituted benzenes the distances between substituents in the optimized structures or X‐ray crystals are too large to allow strong σ‐aromaticity, these distances are expected to be shorter in substituted tropylium cations. Yet, instead of the expected σ‐aromaticity, we found that the most stable geometries are highly puckered, meaning that delocalization in both π‐ and σ‐systems is lost. Our results, which include also the tropylium anion and trication in the singlet and triplet state, show that there is a need to open a lone pair hole by oxidation to generate σ‐aromaticity. Among the systems studied, only triplet C7Br7+3 with an internal Hückel aromatic tropylium ring and an external incipient Baird aromatic Br7 ring shows double π‐ and σ‐aromaticity. This result, however, is functional‐dependent and reveals that 3C7Br73+ is at the borderline for onset of double aromaticity.