I answered your question a while ago, both countries have diplomatic relations, and people of both countries travel to each other, so what improvements you are talking about? about 2 months ago our media published a news about an invitation letter from your king to Hashemi, and beside his signature he had written "your brother Abdullah", so problem isn't love letters.
today our problem is Syria. and no matter what, Iran wont stop supporting Asad government, all Iranian agree on this, whether it's hard core religious people in Iran, or non-religious who don't like the regime and live outside of Iran (and you can see their instances in this forum), no man in Iran can do anything against it. and for your info Hashemi has lost his popularity after 2009 election and nobody cares about him.
so my question which you didn't answered remains, are Saudis ready to stop supporting the anti-Asad fighters?