As per May, 17 the residents of following countries are allowed to enter Russia:
Pay close attention to the following information!
You have to do a PCR COVID-19 test no earlier than 3 days before crossing the border and no later than 3 days after crossing the Russian border.
10 days before arrival you need to send the exact date and point of entry to International Student Support Center email email@example.com. If you need to be provided with a room in the dormitory to stay during the period of waiting for the COVID-19 test results, please make sure to attach the scan/photo of a signed application form for such a room.
After doing it, wait for the reply with the details on crossing the border.
Russian government order dated 16.03.2020 N 635-p (as revised on 18.05.2021)
Recommendations from Rospotrebnadzor 3.1/2.1.0231-21 dated 11.02.2021