Today, many children grow up in transnational families with a variety of migration experiences. The Greek-Swedish migration is characterized by a number of migration waves starting in the late 1960s, followed by a period of re-migration to Greece, and then a new migration wave due to the financial crisis in Greece in 2010. This paper investigates seven Greek-speaking families in Stockholm with children from 5 to 17 years old who moved to Sweden after 2010 and in which some of the parents had previously lived in Sweden. Based on ethnographic interviews, we investigated how the families reason about their linguistic choices and linguistic aspirations. Migrant families face the task of caring for both learning the language of the new country of residence and maintaining and developing the family’s mother tongue. While we found several similarities in the way the families ascribed value to knowledge in Swedish and Greek, the parents positioned themselves differently with respect to their perceived agency in their family’s multilingual development. These differences were grounded in the parents’ present and past migration experiences and their current professional and socio-economic situations. When reflecting upon the linguistic choices within the family, migrant parents related the family’s linguistic practices to their own linguistic needs. Making a connection between linguistic practices and migration experiences, we argue, is crucial for understanding how migrant families reflect upon their language learning aspirations and their multilingual lives.