As the council debated its response on Thursday, the United States fired cruise missiles at a Syrian air base that the U.S. says was used to launch the chemical attack.
The White House press secretary, Sean Spicer, on Monday said the United States would not become "the world's policeman", but he said later about Syria's chemical weapons use, "If we see this kind of action again, we hold open the possibility of future action".
Russian Federation has accused the US of breaking global law and using a chemical weapons attack as a pretext to launch Tomahawk missiles at Syria's military last week.
France, Britain and the United States have accused President Bashar al-Assad's forces of carrying out the attack that killed at least 87 civilians, including 31 children.
On April 7, US President Donald Trump ordered strikes on Syria's Shayrat military air base located in the Homs Governorate.
Giving Tillerson a chilly reception, Russian Foreign Minister Sergey Lavrov said Russia was trying to understand the "real intentions" of the Trump administration.
From Italy, Tillerson will travel to Moscow, becoming the first Trump administration official to visit Russian Federation.
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Once again reiterating the policy confusion over Syria, Tillerson said at the weekend that the defeat of Islamic State remained the U.S. priority, while the U.S. Ambassador to the United Nations Nikki Haley said that "regime change" in Syria was also a priority for Trump.
The officials said Russian Federation has frequently spun out multiple, conflicting accounts in order to create confusion and sow doubt within the worldwide community. The official, who wasn't authorized to speak publicly on intelligence matters and demanded anonymity, didn't offer concrete proof and others in the Trump administration cautioned that no final determination of Russia's foreknowledge had been made.
The UN Security Council could vote as early as Wednesday on a draft resolution aimed at strengthening the investigation of the suspected chemical attack in Syria, diplomats said. He said Moscow has lots of questions about the "very ambiguous" and "contradictory" ideas emanating from Washington. Tillerson said it was clear the USA saw no role for Assad in Syria's future, given that he had lost legitimacy.
He added: "It is clear to all of us that the reign of the Assad family is coming to an end".
Officials said Tuesday that Russians were located on the small base before the chemical attack was launched.
The White House said the missile strike was conducted to stop proliferation and deterrence of chemical weapons.
Alfano says Russian Federation should put pressure on Assad to stop the use of chemical weapons, and should join an global push for peace in Syria. Putin said ahead of the meeting that U.S.