* "Meet" vs. "Meat": You could say, "I'd like to meet you," or "I'm excited to meet you," which is obviously related to the act of first encounters. But "meat" doesn't really fit unless you're talking about a literal meat-based meal!
* "Right" vs. "Write": This one could be more of a play on words. You might say, "It's right to be polite when meeting someone new," or "Let's write down each other's contact information."
Ultimately, the best way to create a homophone pun for this situation would depend on the specific phrasing you're aiming for!