State oil company Rosneft will receive $4.2 billion of the sum.
According to Kommersant, the pledge was made on Saturday during a meeting between oil and gas company representatives and Deputy Prime Minister Igor Sechin, who oversees the energy sector.
The other three beneficiaries are gas monopoly Gazprom ($1 billion), the country's largest independent oil producer LUKoil ($2 billion), and joint Russian-British venture TNK-BP ($1.8 billion).
The state earlier granted the oil producers an estimated $5.5 billion in tax breaks.
On September 24, the four oil and gas majors, which account for 70% of Russian oil and 90% of gas production, sent Prime Minister Vladimir Putin a letter asking for a total of $80 billion to pay off their foreign debts and finance strategic projects.
Putin said on Friday the government would disburse up to $50 billion for companies to refinance their foreign debt.
He also said on Monday that companies should be offered alternative debt refinancing loans as a way of "saving Russian enterprises from being sold off at rock-bottom prices, which do not reflect their true value."
Russia's financial system has been rocked by a global credit crunch that started in the U.S. and quickly spread to Asia and Europe leading to record losses on Russia's financial markets, rising interest rates and a liquidity shortage.