Hello Omkar,
Amongst the top 20 Russian universities, there are no undergraduate courses which are English Medium.
A related course that may interest you is the course in Applied International Journalism at the RUDN university is a 2 year full time program which is available in English. (Tuition: USD $3700 per year; Link: http://eng.rudn.ru/education/educational-programs/1672?tab= )
Apart from this, there are undergraduate courses in Mass media and advertising which are taught in Russin which you can consider if you obtain a TORFL (Test of Russian as a Foreign Language) certification before applying for admission:
1. St. Petersburg University
Program: Bachelor's in Advertising and Public Relations
Duration: 4 years
Link: http://english.spbu.ru/education-at-spbu/undergraduate/bachelor/85-program-bac/1657-advertising-and-public-relations
2. Ural Federal University
Duration: 4 years full time , 5 years correspondence
Tuition: 104,700 rubules per year (full time)
Link: https://programs.edu.urfu.ru/ru/8682/
3. National Research University – Higher School of Economics
Program: Media Communications
Tuition: 330,000 rubules per year
Link: https://www.hse.ru/en/ba/media/
Program: Advertising and Public Relations
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