Russian Federation has blocked a draft resolution at the United Nations condemning last week's toxic gas attack in Syria.
Tillerson reiterated Washington is "quite confident" that the recent chemical attack was planned and executed by Syrian government forces, which involved chlorine bombs and other chemical weapons on more than 50 occasions.
Foreign policy experts say the U.S. bombing of Syria was done in part to deflect attention from the president's growing list of problems at home, from the investigation of his campaign's alleged ties with Russian Federation to his failed healthcare legislation and blocked travel ban.
Secretary of state Rex Tillerson says there is a "low level of trust" between Washington and Moscow and they "cannot have this sort of relationship".
Peskov also said Putin had given Tillerson his views on the situation in Syria, and how it was likely to develop.
Tillerson's comments came at a press conference following his meeting with Russian President Vladimir Putin and Foreign Minister Sergey Lavrov.
Iran's Mohammad Javad Zarif emphasized that the participants warned that any unilateral action by the U.S.is unacceptable.More news: Tension spikes over N. Korea, but Pyongyang barely notices
"We will keep monitoring the issue, since the only possible reason for using military force on the territory of Syria is to fight terrorism", Lavrov said.
Earlier in an interview broadcast on Wednesday before the meeting with Tillerson, Putin said mutual trust between Russian Federation and the USA, especially on the military level, had eroded in the first few months of Trump's presidency.
"Are we insisting on it? No".
He said there was a "low level of trust" and "the world's two foremost nuclear powers can not have this kind of relationship". "So that certain interests and constituencies that he represents feel they have been represented at the negotiating table for a political solution". I wouldn't use the word impossible.
Lavrov told Tillerson Moscow was hoping to understand Washington's "real intentions" and warned that the Kremlin considered it "fundamentally important" to prevent more "unlawful" United States strikes against its ally Syria. "But it does seem like you certainly wouldn't be off to a good start". Russian Federation has never publicly acknowledged any such attacks by Assad's forces and has tried for the past 18 months to help him expand his authority in Syria. But that one would have condemned the USA missile strikes ordered by President Donald Trump in response to the chemical attack.
"Our impression is that the West, mainly the United States, is hand-in-glove with the terrorists". Tillerson said both countries sought to increase the level of "senior level communication" between them.
A fact-finding mission from the Organisation for the Prohibition of Chemical Weapons (OPCW) is investigating last week's attack in a rebel-held area of northern Syria.
The three ministers also discussed the beefing up of us forces on Jordan's border with Syria.