Replication studies are crucial to strengthen the field of data visualization, to ensure its foundations are solid and methods accurate. Although visualization researchers acknowledge the epistemological significance of replications and its necessity to establish trust and reliability, the field has made little progress to support the publication of such studies and importantly provide methods to the community to encourage replications. In this paper, we contribute Vis Repligogy, a novel framework to systematically incorporate replications within visualization course curricula that not only teaches students replication and evaluation methodologies but also results in executed replication studies to validate prior work. To validate the feasibility of the framework, we present two case studies of two graduate data visualization courses that implemented the framework to result in a total of five replication studies. Finally, we reflect on our experience of implementing the Vis Repligogy framework to provide useful recommendations for future use of the framework. We envision this framework will encourage instructors to conduct replications in their courses and will help facilitate more replications in visualization pedagogy and research to support a culture shift towards reproducible research. Supplemental materials of this paper are available at https://osf.io/ncb6d/.