The article aims to theorize about critical data studies with Latin America beyond the framework of data colonialism, arguing that the long history of social thought in the region can contribute to a more nuanced understanding of the datafication. It discusses views around dependence, oppressions, and liberation, debating how Latin American authors can be useful for current critical data studies, in a more nuanced and complex vision. It presents the theoretical contributions of Lelia Gonzalez, dependency theorists and Enrique Dussel. Dependency theorists criticize evolutionary frameworks of development and can contribute to discussions around data sovereignty and overexploitation of labor. Gonzalez contributes to a complex vision of Amefrica Ladina, articulating multiple forms of oppression. Enrique Dussel presents a theory of technology considering totality and proposes an ethics of liberation that can be related to alternatives toward data justice and data commons. All theoretical frameworks contribute to thinking about datafication with Latin America not as an isolated phenomenon, but in relation to other countries in the world, and as an analytical key for the construction of alternatives. All perspectives are related to current debates on critical data studies and can make an important contribution to the construction of critical theories about data that consider Latin America also as a site of knowledge production.