Pompeo said during a visit to Crete that he had discussed the clashes in talks earlier with Greek Foreign Minister Nikos Dendias.
“The foreign minister and I addressed the conflict in Nagorno-Karabakh where both sides need to stop the violence and work with the Minsk Group co-chairs and return to substantive negotiations as quickly as possible,” he said.
The Minsk group was set up by the Organization for Security and Co-operation in Europe (OSCE) in the early 1990s to encourage a resolution to the conflict. It is co-chaired by France, Russia and the United States.
France also wants Minsk Group talks.
“We will trigger in the coming days a coordination of the Minsk Group to clear up what happened, who is responsible and find a way out,” an official at President Emmanuel Macron’s office said on Tuesday.
The clashes between Armenian and Azeri forces over Nagorno-Karabakh have increased concern about stability in the South Caucasus region, a corridor for pipelines carrying oil and gas to world markets.