Hakan Fidan said officials from the countries held several rounds of discussions on topics including Syria, Ukraine, Gaza, defense industry cooperation, energy, and counterterrorism.
A Turkish court in January ordered the arrest of 15 people and the deportation of eight others suspected of having links to Mossad and targeting Palestinians living in Turkey.
Erdogan, modern Turkey's most successful politician, has led the country for more than two decades.
The shipment, setting sail for the Egyptian port of Al-Arish, comprises approximately 3,000 tons of food, medicine, and other essential supplies.
While Israel and Turkey have enjoyed historical ties, Erdogan's recent comments and support for Hamas have strained ties - an expert on Turkey unveils why.
In recent months, Turkey has claimed multiple arrests of "Mossad personnel," who, among other things, was "recruited to spy on Palestinians living in the country."
Erdogan and Abbas will discuss recent developments in Gaza as well as the situation in the West Bank, the diplomatic source said.
"The unfolding situation after October 7 proves once again that, without addressing the root cause of the Israeli-Palestinian conflict, there can be no peace in the region," he said.
The lawyer said that, in response to her social media, she had received threats online by "people who said they would put me to the sword and that I would become their concubine."