He said that last week's reported chemical weapons attack, the subsequent airstrikes by the United States and intensified fighting on the ground have put the fragile peace process is in "grave danger".
Lavrov said that while Russian Federation was not placing its hopes in Assad or any other individual in Syria, toppling the Syrian government was not an option and that a political process had to be allowed to play out.
Al Jazeera's Rory Challands, reporting from Moscow, said the press conference highlighted the two diplomats' "differences in style, in position and in views of the world".
But in a reversal from earlier this week, Tillerson appeared to walk back previous claims of Russian complicity at a press conference following the meeting: "Assad has brought (this) upon himself", he said, adding that the USA has no "firm information" that Russia was involved in any way in the chemical weapons attack.
The military action, coupled with American officials' change of tone over Assad's future, stirred speculation that the USA and its Western allies were ready to put boots on the ground in Syria.
In the latest veto, Russian Federation blocked a draft resolution backed by the United States, France and Britain to denounce the attack in the town of Khan Sheikhoun and tell Assad's government to provide access for investigators and information such as flight plans. "I think it's very bad for mankind".
Jazz's Gobert to miss Game 3 vs Clippers with knee injury
Ingles had eight points, two assists and two steals in 32 minutes while Johnson, coming off the bench, had 21 points. Give credit to Luc Mbah a Moute though; he's been attached to Hayward on virtually every possession.
Tillerson said President Donald Trump's administration was of the view that Syrian President Bashar al-Assad "cannot stay in power".
So for the cost of $88.5 million, Trump angered Syria, Russia and China, accomplished little military and political results, enriched the military industrial complex, violated U.S. and worldwide laws, and committed a war-crime.
Tillerson's trip to Moscow represented the highest-level contact between the USA and Russian Federation since Trump took office in January.
Trump praised Putin as a strong leader during his long campaign for the White House, but on Wednesday he highlighted the Russian president's role in the Syrian civil war. White House officials said they credited the relationship between the two leaders that was forged during the visit, and the conversation Tuesday evening, with helping to influence China's vote.
The meetings Wednesday "represent a continuation of our communications and discussions and dialogue that began in Bonn", Tillerson said, referring to a G-20 summit on February 16. when he met with Lavrov.
Later, after a meeting at the White House with Jens Stoltenberg, the North Atlantic Treaty Organisation secretary-general, Trump went out of his way to praise the military institution, which he called a "great alliance", and to express disappointment with Russian Federation. At a news conference with the NATO Secretary General, President Trump talked about the mounting tension.
North Korea says it 'will go to war' if United States provokes it
An official from South Korea's Defense Ministry couldn't immediately confirm whether the rocket was a new ICBM. China, on the other hand, acts as an economic bedrock for North Korea.
"That could happen, and it may not happen", he said. There are legitimate questions, posed by the Russians and others, as to who would take power after Assad's departure. The latest attack, which killed more than 85 civilians and injured over 550, was part of this ongoing campaign.
Mrs May defended the Foreign Secretary's efforts: "Boris Johnson did an excellent job in bringing together the G7, bringing together global opinion, and enabling Rex Tillerson from the United States to go to Moscow with a very clear message - a consensus from the worldwide community".
"The very statehood of Libya is even in danger right now", the Russian foreign minister pointed out. SecDef Mattis said it was clear the "Assad regime planned it, orchestrated it, and executed" the attack.
Despite hopes of an improvement in ties under Trump, the Tillerson-Lavrov talks look set to be dominated by the war of words over Syria - where more than 320,000 people have died in six years of brutal war.
Secretary of Defence General James Mattis spoke earlier in the day at a Pentagon news conference about the Syrian chemical weapons attack last week, which killed 86, and the subsequent U.S. response. -Russian relations since Russia's 2014 annexation of Crimea. "If you have any examples I'd be glad if you could share them with me".
U.S. Ambassador to the United Nations, Nikki Haley, called on Moscow to stop protecting Assad and said the United States wants to work with Russian Federation toward a political solution for Syria. The two authoritarian governments support each other on major foreign policy problems, dislike domestic protest and see the United States in a similar way.
Food and Farm-Milk Dispute story
As it prepares to enter continental trade negotiations this fall, the U.S.is weighing other actions that affect Canada. A spokeswoman for Canada's dairy industry said Tuesday night there have not been any new taxes on dairy imports.