Can you give me some relationship advice?

I have a terrible time reading people and social situations. If only people were just straightforward and blunt….

I’ve been “seeing” someone, if you can call it that, for a little while. We met because we are studying the same post grad course in another country this year, and we are the same nationality. Naturally, we became friends quickly.

I met with him in person before our course, we met half way as we lived quite far apart. I didn’t know what to expect from meeting, but it quickly became something more than simply friends.

I broke all the rules, we know too many details about the other, have spent hours chatting online and webcam, and slept together too soon…but it felt right.

He has always messaged and called first, I rarely ever text first or suggest things. Right now I really want to talk to him and arrange our next meeting, but I feel that it should be him who is making suggestions.

We are now living in the same city, and we got together for the weekend as soon as he arrived. He took me to dinner, we stayed at each other’s new apartments, he mentioned how great the sex was, he was telling his new room mate how cute he thought I was (while I was there), said it was awesome being with me, how fun I am, etc. He FaceTimed his mother and introduced me to her, and said things like “if you meet my parents….” Before I left yesterday, he said he would see me that day or tomorrow…so far I have not heard anything from him.

I’d like to go do something in the city, but the problem is I don’t want to look too eager or clingy. Should I just relax and let him pursue this? I’m not even sure what “this” is. What do I do?