Russian Federation and Iran have been Syrian President Bashar al-Assad's strongest supporters, providing him with urgently needed military and financial support.
Davutoglu said he believes that Turkey and Iran agree on the need to protect Syria's territorial integrity, support the cessation of hostilities for the negotiation process, represent all of Syria's various elements in the government, fight terrorism, and not depend on foreign actors to solve the region's problems.
The two parties will discus the issues of mutual interests as well as regional developments including the Syrian crisis.
A second senior Turkish official said that Davutoglu's visit, during which he will meet Rouhani, comes at a critical time and that both sides understood their economic futures were dependent on containing instability in the wider region.
"Beside the many commonalities, the two countries may have differing views on some issues, but we can steer the region towards stability by managing the differences", Jahangiri pointed out.
Jahangiri said the restoration of peace to the Middle East is in the interest of both Iran and Turkey.
"Even before the lifting of the sanctions, we planned to achieve turnover of $30 billion a year, but now we can go even further", Davutoglu stressed, noting plans to expand energy, transport and tourism cooperation.
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Previously Iran's parliament was overseen by a conservative majority, which was largely suspicious of Rouhani's efforts in promoting closer ties to the West.
Davutoglu made the comments on March 5 during a visit to Tehran, the first in two years by a top Turkish leader.
"The main obstacle that prevented us from reaching our goal was the sanctions", Davutoglu said.
Trade between the two nations was $9.7 billion in 2015, according to the Turkish Statistical Institute.
As Iran exports mainly raw materials to Turkey, including crude oil and gas, sharp fall in oil prices in global markets has led to decrease in trade value.
Turkey and Iran share a 650-kilometer (404 miles) long border, which has remained unchanged for the past three centuries.