Boris Johnson, the British foreign secretary, is pushing for the group, which comprises the United States, Canada, France, Germany, Italy, Japan and the United Kingdom, to call for Russian Federation to drop backing for the country's president Bashar al-Assad or face tough new sanctions, The Times reported.
On Sunday's "Meet The Press", Haley told host Chuck Todd, "In no way do we look at peace happening in that area with Iranian influence".
Ms Haley said that the decision to launch the missile strikes had been to tell Syrian president Bashar al-Assad that "enough is enough" and to let Russian Federation know that is was no longer acceptable to "cover for the regime" anymore.
"We don't see a peaceful Syria with Assad in there", she said.
"And we have to make sure that we're pushing that process".
The regional alliance said the US cruise missile strikes on a Syrian base which Washington said was involved in a chemical attack that killed dozens of civilians would not deter their forces from "liberating" all of Syrian territory.
In his first televised interview, H.R. McMaster pointed to dual USA goals of defeating the Islamic State group and removing Assad.
"The United States crossed red lines by attacking Syria, from now on we will respond to anyone, including America if it attacks Syria and crosses the red lines", the statement read.
"The resulting action of what happened ensured that their fueling operation is gone from this air facility, 20 percent of their fixed-wing aircraft were destroyed and knocked out", Spicer said of the US missile attacks on Thursday.More news: Malala receives highest UN honour to promote girls' education
During the 2016 presidential campaign, Trump said defeating Islamic State was a higher priority than persuading Assad to step down.
Trump acts decisively in Syria: Now what?
Tillerson on Sunday blamed Russian Federation for enabling the poison gas attack by failing to follow through on a 2013 agreement to secure and destroy chemical weapons stockpiles in Syria. Iran has also contributed Shiite militias to back Assad.
Trump ordered the missile strikes on the Syrian air base after blaming Assad for the chemical weapons attack, which killed at least 70 people, many of them children, in the Syrian town of Khan Sheikhoun.
But Ms Haley warned that the U.S. was prepared to "do more" if needed, leaving the door open for more military intervention as the worldwide community awaits a response from President Assad and his allies. The Syrian government has denied it was behind the attack.
"What we are saying is other countries have to ask themselves some hard questions".
"There is no such thing as Assad yes, but ISIS no", Rubio said. "Russian Federation should ask themselves, .Why are we supporting this murderous regime that is committing mass murder of its own population?"
They refer to all Syrian opposition groups as "terrorists".