The assessment of the former diplomats under Obama fits with more recent statements from current President Donald Trump's Secretary of State Rex Tillerson, who said that Russian Federation was either complicit or incompetent in removing Assad's chemical weapons.
"Theresa May spoke with US President Trump to discuss last week's chemical weapons attack in Syria and the US response", a Downing Street spokesperson said. "I welcome this renewed harmony".
Russia's top diplomat accused the United States of carrying out an unlawful attack against Syrian President Bashar Assad's forces.
He told reporters that Washington's military strategy in Syria had not changed even after the strikes, saying "our priority remains the defeat" of the Islamic State group.
Russian and Iranian forces along with allies on 9 April warned the United States President Donald Trump that they would retaliate with military action if U.S. launched more airstrikes on Syria.
The strike was the first time Washington had intervened directly against the regime of Assad, who is fighting a six-year civil war with the backing of Russian Federation and Iran. "And they agreed to continue this close co-operation as we build support for a political solution to end the conflict and bring lasting peace and stability to Syria", May's spokesman said.
The Kremlin previously refused to say whether Putin would meet with Tillerson in Moscow.
Tillerson said Russian Federation had failed to uphold commitments it has made to guarantee the elimination of the regime's chemical weapons stockpiles, and had not made enough progress in peace talks.
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Trump says Syrian President Bashar Assad is "an animal".
But they refused to comment on whether Russian Federation colluded with Syria on the attack or knew about it in advance, a point echoed later by the United States secretary of defence.
"Lavrov stressed that an attack on a country whose government is fighting terrorism only plays into the hands of extremists creates additional threats to regional and global security", the statement said.
"The Syrian government would be ill-advised ever again to use chemical weapons". He said the United Nations should first investigate the attack.
"We have reports from multiple sources that false flags like this one - and I can not call it otherwise - are being prepared in other parts of Syria, including the southern suburbs of Damascus".
Putin also asserted that Syria has complied with an agreement to dispose of chemical weapons "so far as we know".
Trump used the same argument in December, when the intelligence community issued its official assessment that Russian Federation interfered with the USA election.