Synonyms for Draw out:

n.

move on, leave, get away, go away, abandon, come away. night falls, sunrise, motivate, sunset, close in, lead on, twilight, obtain, break, dawn, discover. spin out, squeeze out, loosen someone's tongue, drag out of, force out of, beat out, fish, worm out of, coax something out of someone. hold over, perpetuate, string out, drag out, keep, eke out, prolongation. draw out (noun)
extend, pull, take out, elicit, extract, pull out, educe, protract, evoke, prolong.

v.

prolong (verb)
lead on, pull, string out, drag out, protract, extend, spin out.

Other synonyms:

go away, perpetuate, spin out, come away, move on, worm out of, leave, get away, sunrise, force out of, drag out of, drag out. twilight, sunset, squeeze out, string out, dawn, prolongation. abandon, close in. hold over. fish. keep. break. extend
drag out, string out.
pump
worm out of.
Other relevant words:
lead on, worm out of, drag out, eke out, obtain, string out, spin out, perpetuate.