Foreign Ministry today said that while China understands the reasons for postponement of talks, it wants all parties to focus on national unity and lasting peace in Afghanistan and continue to push forward the peace and reconciliation process.
"It is in the common interests of all Afghan people and parties and conducive to regional peace and stability," state- run Xinhua quoted Foreign Ministry spokesman Lu Kang as saying.
According to earlier reports, talks were scheduled to take place in Xinjiang's provincial capital Urmuqi, but shifted to Pakistan, where the first round was held.
China along with Pakistan and United States attend the talks apparently as observers.
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It has stepped up its role in Afghanistan peace process in apparent move to stabilise its Xinjiang which witnessed violent attacks following unrest among its Uyugur Muslim population in the province.
China blames separatist East Turkistan Islamic Movement (EtIM) for the violent attacks. Xinjiang shares borders with Afghanistan and Pakistan-occupied Kashmir (POK).
Taliban has named a new leader, Mullah Akhtar Mansour, who backs peace talks.
But at the same time Omar's death also raises questions about how it was kept a secret for over two years and when US and China have been informed about it.
The death of Omar was also announced by Afghan government and Taliban admitted it after initial denial.
The first round of face-to-face talks between Taliban representatives and the Afghanistan government was held in Pakistan on July 7.