We summarize the current knowledge on parasitism-related invasion processes of the globally invasive Rattus lineages, originating from Asia, and how these invasions have impacted the local epidemiology of rodent-borne diseases. Parasites play an important role in the invasion processes and successes of their hosts through multiple biological mechanisms such as "parasite release", "immunocompetence advantage", "biotic resistance" and "novel weapon".Parasites may also greatly increase the impact of invasions by spillover of parasites and other pathogens, introduced with invasive hosts, into new hosts potentially leading to novel emerging diseases. Another potential impact is the ability of the invader to amplify local parasites by spill-back. In both cases, local fauna and humans may be exposed to new health risks, which may decrease biodiversity and may potentially cause increases in human morbidity and mortality. Here we review the current knowledge on these processes and propose some research priorities.