It should be collaborative rather than adversarial:
Integration is a common policy used to reduce discrimination, but different types of integration may have different effects. This paper estimates the effects of two types of integration: collaborative and adversarial. I recruited 1,261 young Indian men from different castes and randomly assigned them either to participate in month-long cricket leagues or to serve as a control group. Players faced variation in collaborative contact, through random assignment to homogeneous-caste or mixed-caste teams, and adversarial contact, through random assignment of opponents. Collaborative contact reduces discrimination, leading to more cross-caste friendships and 33% less own-caste favoritism when voting to allocate cricket rewards. These effects have efficiency consequences, increasing both the quality of teammates chosen for a future match, and cross-caste trade and payouts in a real-stakes trading exercise. In contrast, adversarial contact generally has no, or even harmful, effects. Together these findings show that the economic effects of integration depend on the type of contact.
And here is a recent paper by Devesh Kapur, Chandra Bhan Prasad, Lant Pritchett and D. Shyam Babu, on the benefits of modernity for Dalits, here is one short bit of the abstract:
The survey results show substantial changes in a wide variety of social practices affecting Dalit well-being—increased personal consumption patterns of status goods (e.g. grooming, eating), widespread adoption of ―elite‖ practices around social events (e.g. weddings, births), less stigmatising personal relations of individuals across castes (e.g. economic and social interactions), and more expansion into nontraditional economic activities and occupations.
That said, please do not confuse “big improvements” with “no serious problem.”