Russian President Vladimir Putin met Saudi Arabia's defense minister on Sunday, in Moscow's biggest attempt so far to reach out to enemies of Syria's President Bashar Assad since Russia joined the conflict with airstrikes.

Speaking after the meeting between Putin and Sheikh Mohammed bin Salman, a son of the Saudi king, Russian Foreign Minister Sergei Lavrov said both countries were willing to cooperate in Syria and wanted to prevent the formation of a "terrorist caliphate.

"On both sides, as far as I can tell, there is an understanding that today's meeting can advance our cooperation," Lavrov said.

Russia's intervention in Syria has infuriated Assad's regional foes, including Saudi Arabia, who say Russian airstrikes have been hitting rebel groups opposed to Assad, and not just the Islamic State fighters Moscow says it is targeting.

Lavrov acknowledged that Saudi Arabia had "concerns" about Russia's aims but said it was targeting only extremists, including Islamic State and Jabhat al Nusra, a group linked to al-Qaida.

The Russian airstrikes derailed a tentative detente between the two countries earlier this year, which aimed to smooth tensions over Syria and relations with Riyadh's regional rival Iran.

"We expressed our concerns that these operations could be regarded as an alliance between Iran and Russia," said Saudi Foreign Minister Adel al-Jubeir.

"But in the conversation, our Russian friends explained to us that the main aim is the fight with ISIS and terrorism," he added, using an acronym for Islamic State.