The country's Baath Party was expected to win the most seats, since a majority of the candidates are associated with it.
A handful of countries have threatened military retaliation if the Syrian government stages an all-out attack on the Idlib province.
More than 100 U.S. troops began conducting live-fire exercises near a base in southern Syria on Friday.
Leaders of the three nations met on Friday to discuss the situation in Syria, including a potential military assault on Idlib.
Russia, China and Bolivia argued that the council shouldn't even be discussing the issue since it doesn't threaten international peace and security.
The strikes came just hours after President Donald Trump warned against them.
It's the linchpin in NATO's strategy in Asia, but U.S. sanctions could endanger that.
The report, seen by media outlets, said inspectors verified that Iran was producing nuclear materials within levels set by the deal.
The two sides also discussed North Korea, Iran, nuclear weapons and re-establishing communications between the two countries.
The U.S. will redirect $230 million intended to help rebuild Syria to other foreign policy priorities, according to the State Department.
At least 236 people were killed in Wednesday's attacks.
The attacks were reportedly the most deadly in the government-held territory in months.