ABSTRACT1. Rodents are traded as pet species, a practice that frequently results in new introduced populations. This is particularly true for tree squirrels where often only a few founders can establish viable colonies. 2. Here we review the worldwide introductions, ecology and impacts of two tree squirrel species, Callosciurus erythraeus and C. finlaysonii, and discuss the elements of a strategy to reduce squirrel introductions and settlements. 3. C. erythraeus has established viable populations in Argentina,