Question

At some point in the conversation my name came up, and I readily agreed to their proposition.

Accepted Answer

(idiomatichttps://en.wiktionary.org/wiki/Appendix:Glossary#idiomatic, intransitivehttps://en.wiktionary.org/wiki/Appendix:Glossary#intransitive) To emergehttps://en.wiktionary.org/wiki/emerge or become known, especially unexpectedlyhttps://en.wiktionary.org/wiki/unexpectedly; to come to attention, present itself.

Sentence	At some point in the conversation my name came up, and I readily agreed to their proposition.
Definition	( idiomatic https://en.wiktionary.org/wiki/Appendix:Glossary#idiomatic , intransitive https://en.wiktionary.org/wiki/Appendix:Glossary#intransitive ) To emerge https://en.wiktionary.org/wiki/emerge or become known, especially unexpectedly https://en.wiktionary.org/wiki/unexpectedly ; to come to attention, present itself.

Point Conversation I Readily Agreed Proposition Attention Present