Turkish citizens as well as Russians who are resident in Turkey have the opportunity to study at a Russian university within the framework of the scholarship program of the Russian Government. 
Scholarships are given for undergraduate, masters and PhD programs.
More detailed information can be found here:
It is also possible to get university education in Russia by one’s own means.
For example, website Education in Russia provides information about Russian universities and their programmes as well as documents necessary for enrollment. They also provide assistance in choosing a university and preparing documents.
For more information and advice, please contact our Center.