A very tricky question you got there because there’s no single university that deserves that accolade. Almost all the top medical colleges offering an MBBS in Russia are equally deserving of being called the best for Indian students.
However, if you're asking a name, then the university that can get the closest to this accolade is the Tver State Medical University. First and foremost, this university has almost 1000 Indian students, which make up the largest contingent among the international/foreign applicants coming from different countries.
Such is the Indian presence in this university that almost all the big Indian festivals are celebrated with pomp and splendor here, including Diwali, Holi, Eid, Independence and Republic days, Dussehra, etc.
Moreover, students have the luxury to opt for authentic Indian food at the university canteen/cafeteria as well as the hostel mess.
The Tver State Medical University also strictly implements a racism-free and discrimination-free code of conduct, which makes it more Indian-friendly.
Here are the best global universities for clinical medicine in Russia