Trump, meanwhile, told Fox Business News that the US had no plans to become more deeply involved in Syria and only did so because of last week's deadly chemical weapons attack that killed dozens.
Damascus and Moscow claim the toxic gas that killed dozens of civilians in a rebel-held Syrian town on April 4 was released when government bombs struck a rebel-controlled chemical weapons depot - an assertion that Western governments reject. During his 2016 campaign, Trump said he would decide whether to honor the commitment to protect the Baltic republics against Russian aggression, based on whether those countries "have fulfilled their obligations to us".
After two hours of talks with Mr Putin and Foreign Minister Sergei Lavrov in Moscow, he said that the "two foremost nuclear powers can not have this relationship".
President Donald Trump painted a bleak picture of U.S. -Russia relations Wednesday, saying that the relationship between the two nations may be at an "all-time low".
Tillerson conceded the two world powers had "sharp differences" that have obstructed cooperation but voiced optimism they could make progress.
"If our US colleagues and some European nations believe that their version is right, they have no reason to fear the creation of such an independent group", Lavrov added. -Russian ties and identify problems.
The April 4 attack in the town of Khan Sheikhoun killed scores of people and prompted the U.S. to launch a cruise missile strike on a Syrian air base in response, its first direct assault on the Assad government in the six-year-old conflict.
But such hopes appeared optimistic as the diplomats outlined their sharply diverging views on Syria.
"For the U.S.to change that, Washington would have to field a formidable military challenge to (al-Assad)", White said.
"It is clear to all of us that the reign of the Assad family is coming to an end", Tillerson declared Wednesday, openly challenging Moscow to abandon its Syrian ally. He said the recent chemical weapons attack was really the act of terrorists and rebels.
Cristiano Ronaldo: "The two goals in Munich were incredible"
A Paulo Dybala double ensured Juventus took a massive step towards the semi-finals after a commanding win over Barcelona in Turin. I want to thank Real Madrid for the chance to have such a brilliant career at the club and to my teammates too.
The civil war is separate from the US-led effort against the Islamic State group in the north of the country.
In the days since the attacks, U.S.
Tillerson met Putin in the Kremlin after talking to his Russian opposite number Sergei Lavrov for around three hours.
Tillerson is on a thus-far-futile mission to persuade Putin to abandon support for Syrian President Bashar Assad.
Tillerson and Lavrov are meeting in Moscow amid rising tensions over Syria.
Lavrov said Moscow was hoping to understand Washington's "real intentions" and warned that Moscow considered it "fundamentally important" to prevent more "unlawful" United States strikes against its ally Syria. "We consider it of utmost importance to prevent the risks of replay of similar action in the future". But he did not threaten to lessen America's contribution or any other moves if partners do not begin paying 2 percent of their respective GDPs, as NATO's charter calls for. Russia wants the U.S.to eliminate sanctions on Moscow related to its 2014 annexation of Ukraine's Crimea region and support for pro-Russian separatists in eastern Ukraine. "Are we going to get involved with Syria?".
He said Russian Federation was "collaborating with Assad who is the biggest terrorist of all". But any such expectations have crashed into reality amid the nasty back-and-forth over Syria and ongoing US investigations into Russia's alleged interference in America's USA presidential election. Trump himself accused Putin of backing "an animal" and "a butcher", someone who is "truly an evil person".
"We discussed our view that Russian Federation as their closest ally in the conflict perhaps has the best means of helping Assad recognize this reality", he said. "I suggest you look at this vote very carefully and heed this warning".
"After the summit [with Chinese President Xi Jinping], it became clear that Russian Federation was not playing a constructive role in the wake of the Syrian regime's attack", the official said.
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