Western powers meeting in Paris called for the resumption of peace talks and for civilians to be allowed to leave Aleppo, where tens of thousands have already fled a fierce regime offensive.
The diplomatic flurry came as a US-backed alliance announced it would launch the second phase of its battle for the Islamic State group's de facto Syrian capital Raqa further east.
The regime's more than three-week-old assault aimed at retaking all of Aleppo has triggered mounting international outrage.
US and Russian officials meanwhile were to gather in Geneva for what Kerry described as a bid to stop the city from "being absolutely, completely, destroyed".
Once the beating heart of Syria's industrial and commercial industries, Aleppo has witnessed some of the most brutal violence of the country's nearly six-year war.
In less than a month, forces loyal to President Bashar al- Assad have overrun around 85 per cent of east Aleppo, a rebel stronghold since 2012.
Air strikes and regime rocket fire battered the last remaining rebel districts today, according to the Syrian Observatory for Human Rights.
An AFP correspondent in west Aleppo could hear the hum of airplanes circling above, coupled with bombardment and machine gunfire on the city's east.
The strikes were so intense that windows in the west rattled and plumes of smoke could be seen rising from several points across the city's skyline.
"The bombing is unreal," said Ibrahim Abu al-Leith, spokesman for the White Helmets rescue force inside Aleppo.
"The streets are full of people under the rubble. They are dying because we can't get them out," he added.
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