The paper introduces the Special Issue on Language Contact and Speaker Accommodation, which originates from the conference Phonetics and Phonology in Europe (PaPE) held at the University of Lecce, Italy, in 2019. It discusses the topics of language contact and speaker accommodation, summarizing the contributions included in the Special Issue, and arguing explicitly in favour of a unitary view of how both temporary and stable changes happen in (part of) the linguistic systems. Accommodation is seen as the same gradual and non-homogeneous process at play in different contact settings. In the introductory sections, a discussion is offered on various situations in which linguistic systems are in contact and on the main factors that may be at play; the following sections offer an overview of the papers included in the Special Issue, which focus on accommodation in L2 and heritage speakers as well as on the time dimension of dialect or language societal contact. Finally, accommodation is discussed as the same process that is at work in any interaction, that may modify temporarily or long-term the system of L2 learners and bilinguals (e.g., immigrants), that usually affects in the long-term the heritage speakers' system, and that only in the long term can lead to language changes involving entire communities.