"What is important is that we know and we are certain that we want to stay in the deal and we believe that dialogue should continue in peace", she was quoted as saying.
"Unfortunately, the proposed package lacked operational solution and specific method for cooperation, and featured just a set of general commitments like the previous statements by the European Union".
The Iranian president said there was no action plan or "a clear method in the proposed package for the continuation of cooperation and, similar to the previous European Union statements, it only contained general commitments".
Austria's Chancellor Sebastian Kurz (r) and Iranian President Hassan Rouhani give a joint press conference following a meeting on July 4, 2018 at the Chancellery in Vienna.
Ahead of Friday's meeting, French Foreign Minister Jean-Yves Le Drian said it was unlikely for Europe to put together an economic package for Iran before November.More news: Sebastian Vettel hits out at Formula One penalty system
Besides, Commander of the IRGC Quds Force Qasem Soleimani on Tuesday lauded Rouhani for responding strongly to a USA plan aimed at blocking Iran's oil sales, saying "this is the Dr. Rouhani we used to know and the one he should be".
As an original signatory to the deal, the United States - under then-President Barack Obama - also pledged to waive secondary American sanctions as long as Iran continues to abide by the agreement. "It's also not just about what the Europeans can do, but also how the Chinese, Russians, Indians, others can contribute", said a senior European diplomat.
Speaking also on July 6, German Foreign Minister Heiko Maas said world powers would not be able to fully compensate for companies leaving Iran due to new US sanctions.
They said they remained committed to the 2015 accord and to building up economic relations with Iran, including "the continuation of Iran's export of oil and gas" and other energy products.
Since Trump's shock move in May, Washington has warned other countries to end trade and investment in the Islamic republic and stop buying its oil from early November or face punitive measures.More news: Singer Chris Brown is arrested in Florida
"We are ready for all possible scenarios. the collapse of the deal will increase the tension in the region".
German Foreign Minister Heiko Maas conceded that "we won't be able to compensate for all the effects of enterprises withdrawing from Iran because they see their American business interests threatened by the sanctions".
But Washington has also warned European allies that they face possible penalties if they violate US sanctions, which Washington says are aimed at reducing Iranian oil exports to "zero" - a level that would deprive Iran's economy of its principal source of revenue and economic growth.
"We will not be able to compensate for everything that arises from companies pulling out of Iran", Maas told reporters before the new round of talks among the remaining parties to the deal.More news: Thai Diver Dies During Cave Rescue Operations