From Longman Dictionary of Contemporary Englishdraw somebody into something phrasal verbTAKE PART/BE INVOLVEDto make someone become involved in something, especially when they do not want to be involved He tried to draw her into conversation. She found herself drawn into a disagreement between two of her neighbours. → draw→ See Verb table
Examples from the Corpus
draw into • They soon gave up trying to draw her into conversation.• She closed her eyes as, with slow deliberation, Niall drew her back into his arms.• Rune, seeking her out at her hotel, deliberately drawing her into his life.• I found myself being drawn out into the audience.• He took her hand and drew her into the bedroom.• But its dollars-and - cents implications, like those of the restructuring of Medicaid, inevitably drew it into the budget debate.• Far better to draw them into the school to nip things in the bud than leave them to ferment discontent.• The Colleges of Education should be drawn fully into university Schools of Education and receive their funds from them. 