"President Assad has been informed by (UN envoy Staffan) de Mistura of the main points of his initiative," said the statement issued after the two men held talks in Damascus.
"(Assad) said it was worthy of study and that work on it is needed... In order to re-establish security in Aleppo," it added.
It is De Mistura's second visit to Syria since he was appointed peace envoy in July.
On October 30, De Mistura put forward an "action plan" for Syria that proposed to "freeze" fighting in local areas to allow for aid deliveries and to lay the groundwork for peace talks.
State news agency SANA, meanwhile, quoted De Mistura as saying he was determined to ensure that his mission succeeds.
De Mistura had previously said Aleppo would be a "good candidate" to become a "freeze" zone.
The city has been split into rebel- and army-held areas since a major insurgent offensive began there.
Since December 2013, regime warplanes have carried out near daily air raids targeting rebel-held districts of what was once Syria's economic capital, reportedly killing mostly civilians, defying a UN Security Council ban on such strikes.
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