Under the original deal that then-US President Donald Trump abandoned in 2018, Iran limited its nuclear program in return for relief from US, European Union and UN sanctions.
"The fact that we presented the text of Iran's proposal to the negotiating parties shows that we are serious in the talks, and if the other side is also serious about the removal of (US) sanctions, we will achieve a good agreement," state news agency IRNA quoted Raisi as saying.
But Iran's top negotiator said on Saturday that several issues remained unresolved in the Vienna talks.
"Several points of difference have remained which require decision-making at the high-level and these are still on the table unresolved," Ali Bagheri Kani told state-run Press TV.
A year after Trump's reimposition of sanctions on Iran, Tehran began to gradually violate nuclear limits of the agreement. Iran wants all sanctions to be lifted.
Bagheri Kani told Reuters on Friday that Tehran was standing firm on the position it laid out last week.