"A reliable barrier should be put up at the state borders against the penetration of extremists into Russia," the document stresses.
According to the Russian parliament, an international exchange of information is also crucial in the prevention of terrorist attacks and joint measures are needed to cut off support to terrorist groups.
"Supplying terrorist groups with weapons, purchasing raw materials and objects of cultural value from them is complicity in their crimes that should be punished no less vigorously, than the actions of the militants themselves," the draft parliamentary document says.
On Monday, French President Francois Hollande called for a broad anti-terrorism coalition including the United States and Russia to tackle the threat of Islamic State (ISIL) radicals.
ISIL, which has ceased vast areas in Iraq and Syria, claimed responsibility for the November 13 terrorist attacks in Paris that killed 129 people, injuring over 300 others.
The rise of ISIL radicals in Syria is one of the main driving factors behind a major influx of refugees from the Middle East that Europe has been dealing with.
Ilya Rogachev, head of the Department for New Challenges and Threats (DNCT) at the Russian Foreign Ministry stressed in an interview with the Russian Kommersant newspaper that UN member-states must work on cutting off illegal oil trade carried out by ISIL, since it is a major source of their financing, according to the UN Security Council.
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