On Friday morning, the United States launched 59 Tomahawk missiles from its warships in the eastern Mediterranean, targeting Syria's Shayrat airbase near Homs.
Marco Rubio, R-Florida, who said last week that Tillerson is "nodding to the idea that Assad was going to get to stay in some capacity" by saying the Syrian people, not the us, will decide their own fate.
The United States accuses the regime of President Bashar al-Assad of using chlorine gas mixed with a highly toxic sarin-like nerve agent in an air attack.
Secretary of State Rex Tillerson took a more nuanced view, asserting that Assad had undermined his legitimacy as a leader but declaring that defeating Islamic State remains the top US goal in Syria.
Mr Tillerson will go ahead with his visit to Russian Federation to "deliver that clear and co-ordinated" message to Moscow, which continues to deny Syrian forces used chemical weapons last week.
"The failure related to the recent strike and the recent bad chemical weapons attack in large measure is a failure on Russia's part to achieve its commitment to the global community".
On Tuesday, a chemical attack by the Syrian government against civilians left at least 72 people dead and hundreds were injured.
Speaking on Fox News Sunday, McMaster said the United States would take further action in Syria if necessary.
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"We don't believe we need dialogue with London more than (London) needs it (with us)". "In fact, we were prepared to do more two days ago", McMaster said.
"And I think he's making a serious mistake".
Mr Gurbuz accused Washington of "violating worldwide law" with the direct strike on Syria when speaking to Sputnik Turkey.
Russian President Vladimir Putin on Friday called the U.S. strike "aggression against a sovereign state in violation of the norms of worldwide law".
"We have information from our partners and from contacts on that ground that makes it very plausible that the Assad regime was behind this awful poison gas attack", he said.
"It can be whatever they wanted to be", McMaster said. "Do they want to be a relationship in which we can find areas of cooperation that are in our mutual interest?"
Syria's ally Russian Federation accused the U.S. of encouraging "terrorists" with its unilateral actions.
The comments from Tillerson and Haley suggested that the airstrikes Trump ordered punishing Assad for using chemical weapons would not lead to any immediate change in USA strategy toward Syria.