All embassies usually throw parties at least once a month.
The women, especially, are quite sensitive, almost naive.
I recommend you never try to take advantage of them, as it can backfire and cost you dearly.
If you are American, go to the embassy gift shop and inquire about their events (sign up to the newsletter too) 😉 You can also buy a event membership there.
Some countries automatically add you to events when you register with the embassy. A little more direct, but highly effective, is meeting your future lover in a mall.
Finding love and dating in Saudi Arabia is not as difficult as many expats think.