You might develop a conversation (once you've covered the basics like "Hi, my name's Steve, who are you?") using prompts such as:
What do you do? (for a living, or however they choose to interpret it)
Where do you live? (as in, general area, not scary like what's your address!)
As an adjunct to the "Where do you live," question, you might ask where they originally came from (eg Birthplace/family location), and whether they miss their 'home'.
The crucial point is to think *on the fly*. That is, if they say they work for Microsoft (or whatever), ask them about their role in the company, what their job entails, whether they enjoy the work.
By this point, you are in the position of being able to ask about things such as their aspirations for the future (work, family, or otherwise), which can open up an enormous realm of possibilities to pursue further conversation.
Amonst this milieu of conversation, the other person is likely to reciprocate, asking you questions of a similar vein.
The key here is to try to rein in the typical AS tendency to monologue, and actually allow the other person to interject, and then even to switch back to asking questions about them again.