"Neither Turkey nor Greece are responsible for the refugee crisis," Davutoglu said. "They are both the victims of the Syrian crisis."
He called for a political solution to end the bloodshed in Syria, and said: "A final solution passes through Damascus."
More than 650,000 migrants and refugees, have reached the Greek islands so far in 2015 using the eastern Mediterranean route, the International Organisation for Migration (IOM) said earlier this month. Of those, 512 people died.
Just a few hours after Tsipras arrived in Turkey Tuesday, at least nine people, including four children, drowned when a boat carrying migrants from Turkey sank off the Greek island of Kos.
Athens fears coming under renewed EU pressure over the migrant crisis after the discovery at the scene of one of Friday’s Paris attacks of a Syrian passport registered in the Greek island of Leros on October 3.
The document was found near the body of a suicide bomber but investigators believe it may have belonged to a Syrian regime soldier killed several months ago.
Tsipras said police measures alone would not be enough to combat the problem. "Neither Frontex nor someone else can solve this problem unless a political solution is found," he said, referring to the EU border cooperation agency.
Tsipras and Davutoglu attended an international football friendly between Turkey and Greece on Tuesday, but the match in Istanbul was overshadowed by some Turkish fans booing the Greek team during a minute of silence for the victims of the Paris attacks.
Before travelling to Ankara, he held a 40-minute meeting with the Istanbul-based Ecumenical Patriarch Bartholomew I, the spiritual leader of the world’s Orthodox Christians.
Greece and Turkey have a fraught history going back centuries, with disputes over maritime borders and the partition of Cyprus. But tensions between the NATO allies have eased considerably in recent years.
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