A senior US State Department official while talking to newsmen after the meeting in Toronto said that the Group opposed Russia's destabilizing behavior.
Other security issues include the nuclear standoff with North Korea, the crisis in Venezuela, possible war crimes committed against Rohingya Muslims and ongoing civil unrest in Syria and the Middle East. Instead, Deputy Secretary of State John Sullivan is representing the U.S.in Toronto.
The foreign ministers meeting precedes a June summit in Canada of leaders of the G7 countries - the United States, Britain, Canada, Germany, France, Italy and Japan.
The official said there remains an openness to talk to Russian Federation over various important issues.
Russia's transgressions: G7 countries have in recent years criticized Moscow's foreign policy, including its support for separatist rebels in eastern Ukraine, its intervention in the Syrian civil war and its cyber attacks on the U.S. and European countries.
The State Department official said there was broad support among the ministers for the United Nations -led "Geneva Process" that outlines a political transition in Syria in which Assad would step aside. Russian Federation denies any involvement in the nerve attack on British soil in March.
"You can see the G7, this group of industrialized liberal democracies coming together to vindicate our values here in Canada, and I think you see the groundwork for an excellent G7 summit at Charlevoix", Johnson said.
The United States said its priorities also included Iran's "malign" regional activities and ending North Korea's nuclear program.
Canada has made the advancement of gender equality a pervasive theme that cuts across all G7 discussions, and the foreign ministers' meeting is no exception.
Russian Federation and China have agreed to block any USA attempt to sabotage Iran nuclear deal, for which US President Donald Trump would make a final decision on May 12th.
Donald Trump's envoy to Canada says her president is leading global efforts to persuade North Korea to give up its nuclear weapons arsenal.
"One of the things we are concerned about now is the (deal) and where that is headed", British Foreign Secretary Boris Johnson said on the sidelines of the G-7 meeting.
"We fully agreed that we will never accept a nuclear-armed North Korea", Kono said on the first day of the two-day meeting in Toronto, suggesting Pyongyang's announcement that it will suspend nuclear tests and long-range missile launches is insufficient to meet the demands of the worldwide community.