The leaders discussed progress on a draft peace treaty after tensions over a two-month blockade of the Lachin corridor, the only land route giving Armenia direct access to Karabakh.
Political tensions between Baku and Yerevan resurfaced in recent weeks after Azerbaijani activists protested along the major route that connects to mineral-rich Karabakh territories.
Armenia says it would only take part in the meeting if French President Emmanuel Macron is also in attendance, an insistence Azerbaijan calls an attempt to disrupt peace talks.
Addressing a press conference at the end of the first meeting of European Political Community in Czech Republic, President Erdogan says he held "intensive, productive" talks with fellow leaders.
The event signals a thaw between Azerbaijan and Armenia a month after the two sides clashed along the border while highlighting Türkiye's role as a reliable arbiter in the region.
Armenia's PM Pashinyan says he will meet Azerbaijan's President Aliyev at the European Political Community summit also involving France's Macron and EU's Michel.
Angry protesters demanding PM Nikol Pashinyan step down try to storm parliament as the latest clashes between the Caucasus neighbours leave over 150 soldiers dead, most of them Armenians.
The two leaders in a phone call expressed their expectations for the immediate implementation of the issues agreed upon during the July 1 talks between their special representatives.
Leaders of Azerbaijan and Armenia agree in Brussels meeting to work further on a peace plan that has stoked a wave of protests in Yerevan over opposition claims that PM Pashinyan mishandled the conflict with Baku.
Azerbaijan offers normalisation plan in which a joint commission will demarcate borders according to UN and November 2020 truce deal brokered by Russia.
Baku said the solider was killed due to provocations by Armenia's armed forces and that full responsibility lies with Yerevan's political and military leaders.
The snap parliamentary election was called by Acting Prime Minister Nikol Pashinyan in a bid to resolve public anger over the peace deal he signed after the disastrous war with Azerbaijan that triggered months of protests demanding his resignation.
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