With just seven minutes left for the breather, a diving Poonam deflected Joydeep Kaur's pass past Chile's goalkeeper Beatriz Wirth to score the equaliser for India.
Chile had a few chances in the second half but a resolute Indian defence kept them at bay.
India stole the lead in the 62nd minute when Poonam combined with Ritu Rani and dodged past defenders Paula Liu and Manuela Urroz before shooting past the onrushing Wirth.
India's extended the lead six minutes later when Roselin sounded the board from captain Ranjita Devi Thokchom's long pass.
India will play their last game of the second round against defending champions South Korea Tuesday.