"Regarding the security of the Persian Gulf, progress in the talks has been very serious," Saeed Khatibzadeh told journalists on the sidelines of the UN General Assembly in New York on Thursday.
He said the talks on bilateral issues were "good" and called for the settlement of regional issues by regional nations themselves, without foreign interference.
“If Saudi Arabia pays serious attention to Iran’s message that the solution to the problems in the region lies within the region itself and that we must reach a comprehensive regional mechanism, we can have a stable and good relationship between the two important countries,” IRNA quoted him saying.
Iran and Saudi Arabia have been engaged in talks since April with the aim of improving relations, for the first time since the kingdom cut diplomatic ties with the Islamic Republic in 2016 after protesters, angered by the execution of a revered Shia cleric in Saudi Arabia, held protests before Saudi diplomatic missions in Tehran and Mashhad.
The current discussions were launched under Iran's former president Hassan Rouhani and have continued since his successor Seyyed Ebrahim Raeisi took office in August.
Saudi King Salman, in his speech via videoconference to the General Assembly, on Wednesday expressed hope that talks with Iran would "lead to tangible outcomes to build trust" and to the relaunch bilateral "cooperation", according to media reports.