1 (often be engrossed in) absorb all the attention or interest of:they seemed to be engrossed in conversationthe notes totally engrossed him (as adjective engrossing)the most engrossing parts of the book
archaic gain or keep exclusive possession of:the country had made the best of its position to engross trade
2 Law produce (a legal document, especially a deed or statute) in its final form:the solicitors will submit a draft conveyance and engross the same after approval