Essl and colleagues documented worldwide invasion patterns in bryophytes, which so far have been neglected in invasion biology. In the absence of historical evidence, Essl and colleagues used criteria such as anomalous geographical distribution, preference for disturbed habitats, and indirect associations with some means of human transport as criteria to identify aliens. Because bryophytes exhibit high long‐distance dispersal capabilities, disjunct distribution patterns are, however, the rule rather than the exception in the group. In our opinion, none of the previously proposed criteria to characterize aliens can be satisfactorily applied to groups like bryophytes, for which historical and fossil records are extremely scarce. We suggest that, in order to validate the conclusions of Essl and colleagues, further taxonomic and phylogeographical studies are needed. This is especially true for island floras, for which recent critical taxonomic work and updated checklists, which compose the primary source of information for biodiversity, are largely missing.