Russia's Prime Minister has warned combat with America over the Syria missile strike is "one step away".
Overnight, a Russian warship was spotted entering waters off Turkey said to be steaming towards Syria.
There are reports of more airstrikes in the town where the horrific chemical attack killed 86 people.
British Foreign Secretary Boris Johnson has pulled out of a planned trip to Moscow while Australia's Governor General has told 7 News the effects could impact Australia.
The United States is "playing the terrorism game", Russian Foreign Minister Sergei Lavrov said Saturday during his first phone talks with his US counterpart Rex Tillerson since the US air strikes on Syria last week.
"A country which battles against terrorism is just playing the terrorism game," and "creates regional and global security threats", Lavrov warned Tillerson, according to a Russian foreign ministry statement.
Lavrov also reaffirmed Russia's position that accusations that the Syrian regime had launched a chemical weapons attack on the Syrian town of Khan Sheikhun last week "are not in line with reality".
The United States on Thursday fired 59 Tomahawk cruise missiles from warships in the Mediterranean at the Shayrat airfield near Homs in central Syria.
The previous day US President Donald Trump said pictures of the Khan Sheikhun victims in agony, had "an enormous impact" on him.
Saturday's phone call was the first between the top diplomats of Russia and the US since the strikes on the Syrian airfield.
US Secretary of State Tillerson is due to arrive in Moscow on Tuesday for two days of talks.
On Friday, Russian foreign ministry spokeswoman Maria Zakharova said Moscow expects "explanations", during Tillerson's visit, for the US air strike on the Syrian airbase
For his part, Tillerson on Friday said he was disappointed" by Russia's reaction "because it indicates their continued support" for the Syrian regime of President Bashar al-Assad.