After a meeting or event
When to use: Send it within a day or two while the meeting is still fresh.
Primary request
Hi first name, really enjoyed chatting at event name, especially your take on topic. Would love to stay connected here and keep the conversation going.
Shorter alternate
Hi first name, great meeting you at event name. Sending the connection I promised, looking forward to keeping in touch, your name.
Warmer alternate
first name, it was a genuine pleasure meeting you at event name. Your thoughts on topic stuck with me, so I wanted to connect before we both got buried in our inboxes again.
Personalize
Reference one specific thing they said so the note could only have been written to them, and never to anyone else in the room.
Why it works
Because you met in person, the request feels expected rather than random, and mentioning topic proves you actually listened instead of collecting contacts. Keep it short, keep it human, and leave the selling for later once the relationship is real.