No. The students do not have to appear for any entrance test before getting admitted for MBBS in Russia programs. The admission letter from the university is received within -3 weeks of application. At the application to study medicine at top Russian colleges in low fees, only application fees are required to pay. Do not pay advance to the agents. The admission is based on your 12th Marks in Physics, Chemistry and Biology.
However, few ‘A’ graded universities such as Pirogov National Research Medical University do take exams for the students after they reach to study MBBS in Russia. But these exams are pretty simple and not competitive. It is based on 12th level and focused on Science subjects only.