Saudi-Iran :
Right now it seems neither Saudi nor USA is willing to fight Iran. They are seeking excuses to look the other side and kill this whole incident off.
Trump is to meet with Ruhani of Iran in USA recently. And rumors are that Trump offered Iran 16 billion to go back to the old Obama era agreement with Iran again, which he unilaterally revoked last year.
Even if Ruhani agrees, what prevents USA from backing off again a few days later? And what's the value of an agreement if any side can break it at will, and when a next president will not respect the previous one's deals?
The thing is, everyone knows the current conflict once started, will quickly spin out of control and into territories never visited before.
No one wants to see himself as the one that started it.