Azerbaijan claimed it was carrying out anti-terrorist activities after a mine killed six people in the contested Nagorno-Karabakh.
Azerbaijan blamed "illegal Armenian armed groups" for laying the deadly mines.
There appeared to be no immediate response to the offer from Azerbaijan.
The Armenian leaders were discussing the contested region of Nagorno-Karabakh between them and Azerbaijan.
Russia has maintained peacekeepers in the region since a 2020 war in which Azerbaijan seized back significant amounts of territory it had lost to Armenian forces in the 1990s.
In recent months, Russia has publicly backed Azerbaijan's claim to Nagorno-Karabakh and blamed Armenia for the ongoing blockade of separatist-held Karabakh.
A group of Israeli academics and activists have implored President Herzog to intervene in the Nagorno-Karabakh conflict between Armenia and Azerbaijan.
The two sides have since been discussing a peace deal in which they would agree on borders, settle differences over the enclave, and unfreeze relations.
Armenia and Azerbaijan have fought two wars in the past 30 years over Nagorno-Karabakh.
The main corridor connecting Armenia and the Nagorno-Karabakh region has been restricted or blocked since December.
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