Yazidi commanders in Sinjar have vowed to defend the mountains against any incursions by the Turkish military, after President Recep Tayyip Erdogan threatened to hunt down PKK fighters in the area.
Speaking at a joint news conference after Turkey-EU summit in Bulgarian city of Varna, he said our operations against terrorism not only to contribute to the security of ourselves and the Syrians but also to the security of Europe.
The meeting was hosted by Bulgarian Prime Minister Boiko Borissov, whose country now holds the rotating Presidency of the Council of the EU, and attended by Turkish President Recep Tayipp Erdoğan, Tusk, and European Commission President Jean-Claude Juncker.
"We are going to remind them [Tusk and Juncker] once more than Turkey will not tolerate hypocrisy", Erdogan said.
"We encourage Turkey to work with the Council of Europe, of which Turkey has been a member longer than most European Union member states".
Bulgarian Prime Minister Boyko Borisov, whose country holds the rotating presidency of the EU Council, said it was expected to be "a very hard meeting". It was a long list, including the rule of law and press freedom, bilateral relations with member states and the situation in Syria.
Before arriving in Bulgaria, Mr Erdogan insisted "EU membership remains our strategic goal".
The Turkish leader also extended his honest condolences of the Kemerovo tragedy and offered the words of sympathy to the families of those killed in the disastrous shopping mall fire.
Erdogan has alarmed the West with a massive purge since a failed coup attempt in July 2016.
On the positive side, in the eyes of Juncker and Tusk, Erdogan has helped to substantially cut irregular migration to the continent after agreeing to readmit asylum seekers from the Greek islands under a €6bn package.
"Only progress on these issues will allow us to improve the EU-Turkey relations, including the accession process", he added.
In response to European criticism of its cross-border operation to drive out Syrian Kurdish militia from the northwestern Syrian border enclave of Afrin, Erdogan said Turkey expected European backing.
Tusk said that the EU had lent substantial support to improve the livelihood of these refugees, "and this evening we reaffirmed the European Union's unwavering commitment to continue this support".
Abadi also "rejected any violation by Turkey" of Iraqi territory after Ankara warned it was "inevitable" Turkey would launch an attack on PKK forces in Iraq. Membership negotiations began in 2005, but have since stalled over a number of issues that Erdogan refuses to compromise on.