The institutional logics of Western academic research often conflict with the epistemologies and goals of Indigenous peoples. Research sovereignty is a right but still an aspiration for many Indigenous peoples. National funding agencies and Western universities have sought to resolve these conflicts through various institutional and organizational settlements. We combined a systematic literature search with critical content analysis and synthesis to compare the prospect for Indigenous research sovereignty in Australia, Canada, the United States, and New Zealand. Our comparison of the strategies used to resolve conflicts between competing institutional logics highlights the limitations of segmentation and segregation as well as other barriers to truly blended, or reconciled, institutional logics in colonial government and Western university research institutions and organizations.