Interested in an international student?

Recently over spring break, I matched with this cute guy on Tinder and after he messaged me first, we realized we both go to the same college. He was in my city during the break and asked me to go out to dinner with him, but I had to decline. However, once we got back to school this week, I reached out to him and we grabbed dinner together at our school. That was only two days ago, but I’m just wondering if I should ask him to hang out again or not. I noticed how shy and reserved he is, but I made him laugh a lot while we were together which was nice. He’s from South Korea and got sent to the States by his parents to study. Since then, he’s been snapchatting me first and sending funny pictures of himself. It’s only been two days so it’s way too early to be overthinking haha, but I admit this guy is super cute and I’d love to go out with him again if he asked. I’m in no rush to be a thing yet, but I don’t really know how to approach him. Even though I’m Chinese, I’ve lived here my whole life, and it seems I can’t really apply the same American dating/flirting cues since his culture seems quite different. Even with social media, he never had any when he was in Korea and only just downloaded Snap and Instagram a few weeks ago.

I was wondering if any of you girls had experience with foreign students and how getting to know them worked out for you? Especially if they seem pretty reserved like this guy? Should I wait for him to ask me to hangout (since I did let him know while we were walking around campus to text me if he wanted to hang again), or just let him come to me?