Armenian authorities have launched investigations into the incident that took place around noon on September 25.
Meanwhile, Azerbaijan's Defense Ministry said on September 26 that Armenian forces broke the cease-fire in at least three sections of the border overnight.
Yerevan and Baku have been in conflict over the mainly ethnic Armenian-populated separatist Nagorno-Karabakh territory inside Azerbaijan for nearly three decades, with a fragile cease-fire in place since 1994.
Several soldiers from both sides were reported killed in a series of incidents along the Azerbaijan-Armenia border and the Nagorno-Karabakh border this summer.
The self-proclaimed Republic of Nagorno-Karabakh has not been recognized by any other country.