How can I make friends without forcing myself into social events

I am in a new country, a very different continent. The language and culture vary a lot. I have no friends nor any relatives here.

However, now I find that there is no one I can hang out with. I am a born introvert and I don’t feel like all those noisy social activities. However, it seems impossible to make friends without those. I usually go to the dancing lessons alone by myself. I wanted to talk to people there as well, but I don’t know how to start and what to do after starting a casual conversation.