Proposed by the militants and matched by President Ashraf Ghani, the truce will grant respite for Afghans as they mark the Muslim festival with friends and family.
Pictures circulating online appeared to show the man, identified as Ahmed Jamil Fahed, bloodied and lying in the street. The Israeli army referred questions to the Border Police, which did not respond to requests for comment.
Israeli leaders said they were pressing on with an offensive against Hamas, but an Israeli military spokesman acknowledged that with an estimated 12,000 missiles and mortars in the groups' Gaza arsenal, "they still have enough rockets to fire".
The local media said that nearly 40 security forces members were captured after militants seized government office buildings in the district, 60 km west of the capital Kabul.
The UAE welcomed the news of a ceasefire agreement and expressed hope that it is durable, lasting, and might contribute to the resumption of a credible wider peace process while restoring calm and building confidence between the parties at the same time.
The visit came as the Taliban unleashed a wave of attacks in Afghanistan, striking in northern Baghlan and southern Uruzgan province late on Tuesday and early Wednesday.
In a statement on Saturday, the Ministry of Foreign Affairs and International Cooperation reiterated its assertion that a political solution is the only way to end the conflict in Libya under the supervision of the United Nations.
Friday's deal was signed in Geneva by military delegates from the two main warring parties in the North African country, which plunged into violence in 2011 with the NATO-backed revolt that toppled veteran dictator Moamer Qadhafi.
With Russia’s mediation, Armenia and Azerbaijan agreed to a cease-fire in Nagorno-Karabakh starting at noon on Saturday following two weeks of heavy fighting that marked the worst outbreak of hostilities in the separatist region in a quarter-century.