A press conference will be held after the meeting, set for around 3 p.m. (1300GMT).
Tensions have recently escalated over the issue of energy exploration in the Eastern Mediterranean.
Greece has disputed Turkey's energy exploration in the region, trying to box in Turkish maritime territory based on small islands near the Turkish coast.
Turkey – the country with the longest coastline on the Mediterranean – has sent out drill ships to explore for energy on its continental shelf, saying that both Turkey and the Turkish Republic of Northern Cyprus have rights in the region.
To reduce tensions, Turkey has called for dialogue to ensure the fair sharing of the region’s resources.
Meanwhile, Turkish and Greek military delegations have held technical meetings at NATO headquarters in Brussels to reduce the risk of an incident in the Mediterranean.