Russia and China are among several countries that have suggested they would not support the resolution, which could result in economic sanctions against Iran.
An EU statement was read during Wednesday's closed-door session of the UN nuclear watchdog agency that expressed strong concerns about Iran's nuclear program.
At the United Nations, British Foreign Secretary Jack Straw appealed to Iranian Foreign Minister Manouchehr Mottaki in a meeting late on 21 September to change the country's position on pursuing uranium enrichment -- which can produce fuel for nuclear arms.
No details of the meeting were immediately available.
Iran insists its nuclear program is only for producing energy.
For RFE/RL's complete coverage of the controversy surrounding Iran's nuclear program, see "Iran's Nuclear Program."