The missile strike, which targeted a Syrian military air base, followed a chemical weapon attack that the us and other Western nations have blamed on Assad, an assessment that the Kremlin disputes.
"Today the president confirmed our readiness to return to its implementation on the understanding that the original aims of the air forces of the American coalition are reaffirmed, namely the fight with IS (Daesh) and Al-Nusra", Lavrov said.
"We need to attempt to put an end to this steady degradation", Tillerson said. There were no signs that would support the statement, the allegation that chemical agents were used there at all.
Russian Federation has been defending Syrian President Bashar al-Assad, saying that there's no evidence that the Syrian government was behind the chemical attack. "So that certain interests and constituencies that he represents feel they have been represented at the negotiating table for a political solution".
"With all the existing problems, both objective and artificially created ones, we still have quite a few prospects for joint work".
Trump's comments on the state of U.S.
Russian Federation has vetoed a draft resolution at the UN Security Council that would have condemned last week's alleged chemical attack in Syria and demanded that Damascus cooperate with investigators.
Mr Trump's pre-election calls for closer ties with Russian Federation and Mr Putin seem to have been overcome by their differences over the war in Syria. That all changed with last week's gas attack and President Trump's quick response.More news: Modi To Launch BHIM-Aadhaar Facility For Merchants At Nagpur
Russia's President Vladimir Putin echoed Mr Trump, saying in an interview on Russian television: "The level of trust on a working level, especially on the military level, has not improved but has rather deteriorated".
Lavrov said both sides were set on leading an "uncompromising fight against global terrorism". "And I think it's very bad for Russian Federation", he said in and interview with Maria Bartiromo airing today on Fox Business Network.
That candid assessment by America's top diplomat reflected the former Cold War foes' inability to forge greater cooperation, as President Donald Trump until recently has advocated.
"Frankly, Putin is backing a person that's truly an evil person", Trump said, referring to Assad. "I would like to think that they didn't know, but certainly they could have. It's very bad for this world", Trump told Fox Business News.
The news conference came after Russian President Vladimir Putin met the top American diplomat for nearly two hours to see if they could rescue relations between the world's mightiest military powers.
Stoltenberg said within the North Atlantic Treaty Organisation alliance, the U.S. military action on Syria has been met with understanding.
Trump's repeated claims that he could mend relations between Washington and Moscow has fuelled accusations that he secretly colluded with Russian Federation to win the USA presidential election a year ago. He also said war-crime charges could be possible "the longer time goes by".
MARGARET WARNER: Tensions are over more than Syria. Putin's decision to host Tillerson signalled Moscow's intent to maintain communication with the U.S. even as the countries bash each other publicly in louder and louder tones. He says that makes it hard to have clarity about US positions. "He hasn't threatened us at all", Lavrov responded.