The translation of the pun is one of the most challenging issues for translators and interpreters. Sometimes, puns, especially those containing realia, are considered to be untranslatable. Most translation strategies and procedures offered in previous findings for the translation of realia-based puns are not appropriate for audiovisual translations of animated films, for either dubbing or subtitling, because ofthe specificity of the target audience, and the genre. The problem of choosing the most relevant strategy and procedures for realia-based puns is underexplored. To narrow the gap, metamodern and semiotic approaches are applied to the translation of puns. In accordance with the semiotic approach, a pun is considered as a type of language game based on the use of the asymmetry of the form, and the content of the sign. The “Quasi-translation” strategy discussedin this paper reflects the metamodern attitude towardsthe game, whereby“game change” is one of the basic postulates. “Quasi-translation” involves threetypes of translation procedures: quasi-localisation,quasi-globalisation, and quasi-glocalisation. The term“quasi-glocalisation” is also used to denote the general strategy for the translation of audiovisualworks containing realia-basedpuns, whichinvolves: 1) oscillation between the need to adapt the translation to the target culture, and the need to preserve the culturally-marked components of the original; and 2) the reproduction of “atmosphere”(the common reality of the perceiver and the perceived). This insight can be used by audiovisual translator-practitioners,and university teachers in the course of translation theory and practice.