It also backed the UK's draft UN resolution.
Russia, supported by China, has blocked three previous draft UN resolutions condemning the Assad government.
The drafting of the UN resolution was confirmed by the country's foreign ministry.
William Hague called for a "binding" UN resolution that involved the "full weight of the UN".
He told Blair that war could be green-lit legally on the basis of the existing UN resolution, 1441.
In January 2003 Wood told foreign secretary Jack Straw that without a second UN resolution any invasion would be illegal.
He said France opposed a second UN resolution at the time because it could have triggered a war.
The resolution makes clear that Sudan has failed to comply with its obligations under an earlier UN resolution, passed in July.
Efforts to reunify the island under one federal state have repeatedly failed, including the last UN resolution attempt (the so-called "Annan plan") in 2004.
But the best way of doing this, of course, is having a UN resolution, a condemnation of Syria, backing for all necessary measures to be taken.
"[The earlier UN resolution] 1441 was not enough to go to war," the ambassador added, further contradicting the position of the then British government.
