Turkish President Recep Tayyip Erdogan told Abadi earlier in the day to "know your place", and said that he is "not on my level" - another escalation in the war of words between the two sides over Ankara's deployment of troops in Iraq's north.
Erdogan said Turkey had "live records" of Iraqi government's security demands and said these would be broadcast "today or tomorrow".
Tensions between Turkey and Iraq have been on the rise over the presence of Turkish troops at the Bashiqa camp in northern Iraq, which Baghdad sees as "hostile occupying forces".
The press conference was held on December 25, 2014, following Haider Al-Abadi, the Prime Minister of Iraq made an official visit to Turkey.
In Iraq, the militants are preparing to defend Mosul, the most important city under their control, from a massive worldwide offensive expected to begin later this month.
"It seems that Turkey is not serious about solving the problem with Iraq", Hadithi said.
Erdogan suggested Turkey could take a similar attitude in Iraq, where expectations are growing of an assault to drive Islamic State out of the northern city of Mosul.
For weeks, anti-terror forces have been preparing for a large offensive in Mosul to clear out the Islamic State's fighters there.
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Turkey-Iraq relations became strained after Ankara sent troops late a year ago to the region of Bashiqa, northeast of Mosul, to train anti-IS fighters there - a move Baghdad has since labeled a "blatant violation" of its sovereignty.
Turkey's army has launched an ambitious operation in Syria, backing up opposition fighters who recaptured the town of Jarabulus near the Turkish border from IS militants in September.
"Turkey's army hasn't lost enough of its quality to take orders from you", Erdogan said in response to Iraqi calls for the troop's withdrawal.
Iraqis living in the United Kingdom gathered outside Turkey's London embassy to back efforts to liberate the city of Mosul from ISIL.
The Turkish army, its senior ranks purged following a failed military attempt to overthrow Erdogan in July, launched an incursion into Syria in August to push back Islamic State and prevent US -backed Kurdish militia fighters from seizing territory.
One of the VPs was former prime minister Nuri al-Maliki.
"We have explained to all of our friends that the operation planned for Mosul should be limited to removing Daesh", Yildirim said.