Russia has voiced frustration with Iran's approach to the negotiations on its controversial nuclear programme, which Tehran is under pressure to halt.
Iran remains defiant amid intense Western pressure
"We are very disappointed with the way Iran has been conducting itself in these negotiations," Russian Foreign Minister Sergei Lavrov said.
He said Iran was "absolutely not helping" those who were trying to resolve the dispute peacefully.
The US has accused Iran of seeking to build nuclear weapons, which it denies.
Moscow and Tehran will resume talks "in the nearest future" on Iran's nuclear programme, Mr Lavrov said.
Iran insists that its nuclear programme is purely civilian, not military, and that it has the right to conduct nuclear fuel research.
Russia has sought to persuade Iran to move its uranium enrichment programme to Russian territory, which would allow closer international monitoring.
The UN Security Council is expected to discuss the Iran issue this week after Tehran failed to persuade the International Atomic Energy Agency (IAEA) that its nuclear programme was purely peaceful.
The IAEA last week referred Iran to the council, which could impose sanctions.
Iran has vowed to resist international pressure, insisting it has the right to civilian nuclear technology.
Earlier on Monday, Iran's Supreme National Security Council Hossein Entezami said Tehran was still considering the Russian offer.
On Sunday, Iran's foreign ministry spokesman Hamid Reza Asefi had said the proposal was "off the agenda".
'Not too late'
UK Foreign Secretary Jack Straw told the BBC on Monday that Iran was "very, very sensitive" to the prospect of referral to the UN Security Council.
Tehran had repeatedly miscalculated by thinking it could split the UN, Mr Straw told Radio 4's Today programme.
"It is still not too late for the Iranians to get back into negotiations," he said.
Mr Straw reiterated that military action against Iran was not being seriously considered.