The goal of this article is to introduce the reader to contemporary adult multilingual acquisition research within generative linguistics. In much the same way as monolingual and bilingual acquisition studies are approached within this paradigm, generative multilingual research focuses primarily on the psycholinguistic and cognitive aspects of the acquisition process. Herein, we critically present a panoramic view of the research questions and empirical work that have dominated this nascent field, taking the reader through several interrelated epistemological discussions that are at the vanguard of contemporary multilingual morphosyntax work. We finish this article with some thoughts looking towards the near future of adult multilingual acquisition studies.