Slutsky made the comments after a session of the joint meeting of the foreign policy committees of the Russian, Turkish and Iranian parliaments, urdupoint.com reported.
He told reporters that the discussion had showed the unity of the three legislative bodies' approaches to key issues of the Syrian settlement.
"The parties supported the holding of a large-scale inter-parliamentary conference on the return of Syrian refugees in the coming months, which is the most important conclusion of our morning meeting. This conference ... touches upon the interests of many countries that now host Syrian refugees, as well as the issues of restoring destroyed infrastructure in the territory of the Syrian Arab Republic," Slutsky said.
He added that the conference was "very likely" to convene in 2019.
"[It is necessary] to involve in cooperation the parliaments of Jordan, Lebanon and many other countries that host Syrian refugees, countries that are ready to take part in the return of Syrian refugees home," Slutsky said.
Russia, Turkey and Iran are the three members of the Astana format on Syrian conflict settlement. The Astana trio, which first met to discuss Syria in January 2017, has played an important role in the Syrian peace process. Russia, Turkey and Iran signed a landmark memorandum in May 2017 on the creation of de-escalation zones in the crisis-hit country.
The next round of Astana-format talks is tentatively scheduled for April 25-26 in the Kazakh capital of Nur-Sultan.
Chairman of the National Security and Foreign Policy Committee of Iran’s Parliament Heshmatollah Falahatpisheh said Iran and Russia agreed on the need to resist unilateral actions in the world, according to TASS.
Falahatpisheh made the comments after a meeting with members of the Russian State Duma (the lower house of parliament).
"It was an unprecedented meeting," Falahatpisheh said.
"We, the three countries’ parliament members, came together for the first time to discuss regional issues. The need to resist unilateral actions was one of the things on which we all agreed," he added.
"As for Syria, it was a good start," Falahatpisheh added.
"We highlighted the need to preserve Syria’s territorial integrity, which includes the Golan Heights. We support the Syrian political process and efforts to establish a Syrian constitutional committee," he added.
The senior Iranian lawmaker was also hopeful that such meetings would expand in the future.