Erdogan, modern Turkey's most successful politician, has led the country for more than two decades.
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.
Sisi greeted Erdogan as he emerged from his plane in Cairo with his wife, and they conversed as they walked along a red carpet amid fanfare, live television footage showed.
Approximately three weeks prior, the Turkish government had removed Israel from its list of export destination countries effectively withdrawing support for businesses engaged in trade with Israel.
With candles in hand and tears in their eyes, more than 10,000 mourners convened in public squares, reflecting on the tragedy that claimed over 50,000 lives in Turkey and nearly 6,000 in Syria.
Turkey has previously warned Israel of "serious consequences" if it tries to hunt down members of Hamas living outside Palestinian territories, including in Turkey.
"I would call upon all Jews, in Israel and around the world, to completely refrain from purchase of Turkish produce," Rabbi David Stav said.
Sanctions include the removal of Israel from Turkey's list of export destinations.
Israel can no longer remain silent in the face of Turkey’s extensive support of Hamas and its central role in building the organization’s financial empire.