The term ENGROSSED WITH can be defined as being deeply absorbed in something. It is often used to describe someone who is so focused on a task or activity that they become completely immersed in it. The two crossword solutions for this term are INTO and WRAPPEDUPIN. INTO implies that the person is so engrossed with the task that they have gone INTO it, while WRAPPEDUPIN suggests that the person is so involved that they are almost completely surrounded by it.