The single-page document did not include a date or a signature but the magazine still attributes it to the president.
"The president himself drafted the paper together with his advisors shortly before the surprise visit to Moscow by President Bashar Assad on October 21," it says, "and describes the president’s strategy on Syria in five points."
"In the paper, Putin defines "preventing the terrorists from seizing power in Syria" as the central goal. The country should stay "sovereign, retain its territorial integrity" and should remain a "secular and democratic state."
The document also discusses reaching an understanding with the West.
"The paper indicates that the Russian president hopes to start a negotiating process with the goal of "elections and a reform of the constitution that would create a fair balance in terms of the rights and duties of all ethnic and religious groups."
The Kremlin also makes it clear, the magazine claims, that it "won't insist on holding on to Assad as Syria's leader, demonstrating apparent openness to one of the West's central demands."
According to the document, a new constitution should be voted upon by the Syrian people within 18 months. It also calls for parliamentary elections that had been planned for spring 2016 to be delayed and then held simultaneously with a presidential election after the constitution is approved.
This particular outcome apparently was announced after the negotiations.
The magazine also claims that the "Kremlin paper" also refers to ISIL's illegal oil trading, stating that "measures should be taken in accordance with Resolution 2199 of the UN Security Council to stop the Islamic State's illegal trade in oil and to liberate the oil fields that have been occupied by the terrorists."
"Of course, this also means that America will have to place pressure on its NATO partner Turkey to prevent Islamic State from being able to continue to sell oil that is smuggled through Turkey," the outlet quotes Moscow-based Middle East Expert Vladimir Isayev as saying while commenting on the paper.
The document apparently also speaks of the formation of a "Syrian Support Group" which, in addition to Russia, would include the other permanent members of the Security Council and the most important Middle Eastern countries as well as the European Union and Germany.