To cover or enclose (something) by folding and securing a covering entirely around it.
He wrapped up the parcel with brown paper.
To conclude or finish completely.
Let me wrap up this project before I begin a new one.
To put on abundant clothing as protection from the weather; to bundle up.
It's a cold, snowy day and I'm going to wrap up thoroughly before I go sledding.
To summarize or recapitulate.
The newscaster wrapped up the day's events.
To tie up; to make too busy to respond.