This article examines individualising processes in the context of Municipal Adult Education in Swedish for Immigrants (SFI). Demands to adapt education to individual students' needs are increasingly evident in adult education policies, requiring accountable authorities' active engagement in enacting effective organisational frameworks while accommodating the labour market's needs. Such endeavours are often sources of tensions. Conceptual tools from cultural-historical activity theory are employed to address the complexity and multiplicity of individualising processes. An analysis of policy documents and interviews with municipal actors shows that individualising processes are played out through tensions found in three areas of object formation: making of an individual student; making of an effective education; and making of a coherent society. Hence, the study unpacks how individualising processes elicit transformations of SFI education through destabilisation/restabilisation cycles in the involved actors' activities, concluding by highlighting the concept's dynamic and potentiality for development in contemporary adult education settings.