Hi! I'll be glad to be of help with this issue.
I can imagine how frustrating this situation must be for you. You are clearly interested in him and he is giving some likely indications he's interested in you. It would indeed be a shame if you let your shyness and worries of doubt keep you from ever possibly getting together.
There really is no reason to do that. You are too shy to ask him if he'd like to have coffee, I understand. However, the very first thing is: if there is ever another situation like the one at the party, make sure to follow up whatever gesture he makes, whether it's a kiss to the cheek or a hello or whatever, with a verbal response from you. No matter what. If you are in the middle of doing something else, like at the party, then say that you'll be right back after you deliver the drinks in your hands. And then wait until he's not talking to someone else and go up to him and say hi, that you're back; how is he doing? Then let the conversation begin.
So that's first. But you don't have to wait for another party or for some situation where he might come up to you. Let me give you two scenarios to work from that I would very much like for you to do, okay? I'd like you to do both, actually.
The first is available to you if there is someone in the office you trust. Let that person know that you're interested in getting to know him better and let that person tell him that you casually mentioned that you think he's nice and would like to have coffee with him and get to know him a little better. That approach is very much used today but, again, it depends on having someone who you trust in the office to do that.
But either way, there is nothing wrong with saying to him that you're going to the pub nearby for lunch and wonder if he has time to have lunch as well as you're looking for a lunch companion. That's it. Don't get overly nervous; this is not unusual, bad manners, or unheard of. It's done very often. And if he says no, he's busy, that's fine. You just say that's fine, maybe another time. That's it. He now knows that the next move is up to him if he wants. That's all you have to do.
This is only embarrassing if you are afraid of rejection. But my point to you is that there is no rejection involved here because you don't know him yet. If he chooses not to take up your offer or, if he's busy, to ask you another time, that's his choice. You haven't been rejected but there's no relationship yet. He's just letting you know his interest or intention. Period. That's how it works.
The worst, though, is if you let your shyness stop you from letting him choose one way or the other, don't you think?
Okay, I wish you the very best!
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