Meaning trap
come up
be mentioned (in conversation or discussion)
to be talked about or brought into a conversation or meeting.

Don't mix these meanings
Same phrase, different job.
to be talked about or brought into a conversation or meeting.
Another meaning of 'come up' is 'arise (of a problem, opportunity, or situation)'; compare the examples to keep the meanings separate.
Hear it in context
Notice where the phrase sounds natural.
Your name came up during the meeting yesterday.
When I was interviewed for the job, the topic of teamwork came up several times.
Fix the pattern
One small grammar move makes it sound right.
Not: The subject came up to the conversation.
Say: The subject came up in the conversation.
Topics come up 'in' a conversation, not 'to' it.
Which sounds natural?
Tap the one a native speaker would say.
For a topic surfacing in talk, 'come up' is natural; 'was raised during the discussion' is minutes-speak.
Build natural chunks
Words that usually travel with it.
come up + in talk
- in conversation
- at the meeting
- your name
- the subject
Don't confuse it
Related
Other meanings and phrases to compare.
- come up (arise (of a problem, opportunity, or situation)) — Another meaning of 'come up' is 'arise (of a problem, opportunity, or situation)'; compare the examples to keep the meanings separate.