Mr Solana said in Brussels that he would probably meet Iran's top nuclear negotiator Ali Larijani next week.
Mr Solana's spokeswoman said a high-level meeting was planned for next week although it was not clear if Iran would be expected indicate how it viewed the offer.
A senior Iranian official confirmed the meeting would take place before July the 6th but the venue for the meeting had not yet been fixed.
Mr Solana handed Iran the proposal from the five permanent UN Security Council members, Britain, China, France, Russia and the United States, plus Germany on June the 6th.
It promises incentives and multilateral talks if Iran agrees to temporarily halt uranium enrichment, work that is at the centre of fears the hardline regime could acquire nuclear weapons.
Diplomats say Iran was asked to reply by June 29, but Iranian President Mahmoud Ahmadinejad said Wednesday the Islamic republic would take until August 22 to answer.
But in another sign that Iran may not accept the deal, its President Ahmadinejad has said the Tehran wants to keep hold of its sensitive nuclear fuel technology.
He also said Iran was "not backing down an iota on its rights" - a clear reference its uranium enrichment program.
However diplomats say Iran is clearly trying to buy time to avoid a showdown ahead of the G8 foreign ministers meeting in Moscow on June 29th where Iran will be on the agenda.
Iran says it wants to enrich uranium to generate energy and not make weapons as suspected by European and US leaders.