Expressing satisfaction with the commitment of the Afghan government and the Taliban militants to the temporary ceasefire announced on the occasion of Eid al-Fitr, Qassemi called for the adherence of the parties to the truce.
He also expressed hope that the continuation of the ceasefire could pave the way for a new and constructive process for peace talks and restoration of stability in Afghanistan.
The Taliban had announced a ceasefire for the first three days of Eid, which started on Friday, promising not to attack Afghan security forces for the first time since the 2001 US invasion.
That came after Afghan President Ashraf Ghani said security forces would temporarily cease operations against the Taliban for eight days, starting last Tuesday. Ghani then called on the Taliban to extend the truce, which was due to expire on Sunday.