He said an agreement secured in 2013 between then USA secretary of state John Kerry and Russian foreign minister Sergey Lavrov on the destruction of chemical weapons in Syria showed an agreement could be reached.
"They agreed to keep working closely together on the global response".
The largest US air and naval strike force since the 2003 Iraq war is said to be heading towards Syria, according to reports in The Times, paving the way for strikes within the next three days.
"It was both right and legal to take military action together with our closest allies to alleviate further humanitarian suffering by degrading the Syrian regime's chemical weapons capability", May said, adding that she would address Parliament on Monday.
The government said it is "highly likely" that Assad is responsible for the Douma attack, with ministers agreeing "it was vital that the use of chemical weapons did not go unchallenged".
"Bombs won't save lives or bring about peace", he said.
"The Prime Minister could and should have recalled Parliament this week and sought the approval of MPs before proceeding".
"This legally questionable action risks escalating further, as United States defence secretary James Mattis has admitted, an already devastating conflict and therefore makes real accountability for war crimes and use of chemical weapons less, not more likely", he warned. "The reason they are not doing it is they are frightened they will lose the vote", she said.
Corbyn's comments came on the same day as a claim by Russian Federation that it had "irrefutable evidence", so far not unveiled, showing that a supposed chemical attack in the Syrian rebel-held town of Douma last weekend was fabricated with the help of an unspecified foreign intelligence agency.More news: Liverpool vs Bournemouth, Premier League
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Pushed on the point by Today, Ms Abbott said: "It's clear, that at this point, Russian Federation - its role in Syria... its role in the poison gas attack in Salisbury - is a greater threat to world peace than the United States".
The meeting at Number 10 was held to determine whether Britain would join US-led air strikes against the regime of president Bashar Assad.
Assad's government has denied it used chemical weapons on its own people, saying reports were "fabricated", BBC reported.
On Capitol Hill, US defence secretary Jim Mattis said the National Security Council would be meeting later on Thursday to present Mr Trump with various options, adding that he could not talk about any military plans because an attack "is not yet in the offing".
Earlier on Saturday, the USA, United Kingdom and France launched airstrikes on the Assad regime's alleged chemical weapons facilities in the country.
Amid conflicting tweets about the timing of any retaliation, U.S. president Donald Trump said on Thursday that an attack on Syria could take place "very soon or not so soon at all".
"Never said when an attack on Syria would take place".
Conservative MP and former soldier Johnny Mercer said Mrs May had a "duty" to speak to advocate any action and "bring the country with her".
He said Moscow has "irrefutable information that it was another fabrication". In 2013, MPs voted down British military action against the Assad regime and the latest incident raised questions over whether they should be allowed another vote.