On Thursday, Trump tweeted that, "things will work out fine between the United States of America and Russian Federation".
Russia's President Vladimir Putin hosted U.S. Secretary of State Rex Tillerson at the Kremlin Wednesday, but the rival powers failed to bridge a deep gap of trust.
But while Mr Tillerson tamed some of the more provocative language he had used towards Russian Federation in recent days, he said the two countries continued to "diverge" on key issues. "The world's two foremost nuclear powers can not have this relationship", he said.
The high-level talks in Moscow clearly failed to bridge the widening gap between the USA and Russian Federation on Syria. It has since become a complex conflict involving sectarian violence, the rise of the Islamic State and the emergence of a proxy war between major global players, including the United States and Russian Federation, which is allied with the Assad government.
NATO Secretary General Jens Stoltenberg echoed Trump's call for cooperation with Russia, but said the USA and NATO need to be strong in the face of Russian assertiveness.
Assad has denied his government was behind last week's chemical weapons attack that killed more than 80 people.
Safronkov called the US strikes on a Syrian air base in retaliation for the Khan Sheikhoun attack a "violation of global norms", but Delattre said they were "a legitimate response to a mass crime which could not go unpunished". "And you have many indications if you don't have proof, because no-one has concrete information or evidences", said Assad. Tillerson is considering the request, he said, "and we expect that Washington will have a constructive reaction".
Washington has been investigating Russia's possible involvement in the chemical attack in Syria that prompted U.S. President Donald Trump to launch the first direct military assault against the Bashar al-Assad regime. He said U.S. Secretary of State Rex Tillerson is considering the request.
France's U.N. Ambassador Francois Delattre said "with this attack, the Syrian regime has plumbed new depths of horror". During his presidential election campaign, Trump had indicated that he would be less willing than some of his predecessors to conduct military operations against other countries.
Putin accused Assad's opponents of planning to stage chemical attacks to be blamed on Damascus in order to lure the United States deeper into the conflict.
There are also lingering differences over Russia's 2014 annexation of Ukraine's Crimea and Russian involvement with pro-Russian rebels fighting Ukrainian troops in the east of the country.
Trump also said he had "absolutely no doubt" he did the right thing in ordering the cruise missile strike in response to the chemical weapons attack. Trump said in a note on Twitter.
China, which has vetoed six resolutions on Syria since the civil war began six years ago, abstained from Wednesday's vote, along with Ethiopia and Kazakhstan.
"The perspective of the United States is that the recent chemical weapons attack carried out by Syria was planned, directed and executed by Syrian regime forces".