Iranian Parliament Speaker Mohammad Bagher Ghalibaf is reportedly the person doing the negotiations with the White House about ending the war but the foreign ministry is denying it. They say they've had no talks with the US.
It's hard to know who is telling the truth in any of this. Trump said that communications in the country are disrupted so that could be part of the issue.
Right now the market is fairly optimistic on all of it but every day the market is going to want to see some signs of progress or at least constructive dialogue. Iran's IRGC has also promised a fresh military surprise in the day ahead, though that kind of talk is often hollow.
We're deep into the fog of war at this point but I think we can safely conclude that Trump wants it to end in the next week or so.