"Turkey - Israel relations will not normalize until Israel realizes the three conditions. We have not given up on these," Kalin said.
Aside from demanding an apology for the Mavi Marmara killings, and compensation for families, Turkey also insists Israel ends the blockade of Palestinians living in Gaza.
"Turkey will continue to play its role until a two-state solution is reached, and the Palestinian people have their own state. There cannot be permanent peace in the region until the Palestinian problem is solved," Kalin told reporters in Ankara.
Expectations that Turkey and Israel will restore normal relations have raised hopes of speedy progress in talks to import Israeli natural gas, potentially a multi-billion-dollar project, particularly since Turkey`s relationship with major energy producer Russia has worsened.
Earlier this month it was revealed that senior officials had met in an effort to mend fences between the two former allies.
Turkish Prime Minister Ahmet Davutoglu said last week that talks on restoring ties with Israel were continuing.
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