US Secretary of State John Kerry said meanwhile that "military pressure" may be needed to oust Assad, as Moscow announced it would host a fresh round of peace talks next month.
An attack targeting leaders of the jihadist Al-Nusra Front killed several leaders of the Al-Qaeda affiliate in the northwestern province of Idlib, a monitoring group said yesterday.
Aleppo, Syria's second city, saw fierce clashes between regime forces and rebels near an air force intelligence headquarters that the opposition tried to seize in a spectacular attack on Wednesday.
A Syrian military source told AFP the army had yesterday launched an attack "against (rebel) gunmen positions" in the area, "killing and wounding many of them".
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Regime forces also struck rebel-held territory in the east of the city, killing at least 22 civilians, including three children, in a single barrel bomb attack, said the Syrian Observatory for Human Rights, a monitoring group.
Aleppo has been hit by significant violence this week after the opposition rejected a UN plan for a temporary ceasefire in the divided and devastated city, once Syria's main commercial hub.
Speaking to AFP in Paris, opposition National Coalition chief Khaled Khoja said a "new strategy" was needed and that while Assad's overthrow was still the final aim, it was not necessary for the start of a process to end Syria's conflict.
"We insist on the goal of toppling Assad and the security services... It is not necessary to have these conditions at the beginning of the process, but it is... Necessary to end the process with a new regime and a new free Syria," he said.
The country's main domestic opposition group, the National Coordination Committee for Democratic Change (NCCDC), said Khoja's comments marked a welcome change.