1.
If you draw up a document, list, or plan, you prepare it and write it out.
They agreed to draw up a formal agreement...
He wants his ministers to concentrate on implementing policy, not on drawing it up.
= formulate
PHRASAL VERB : V P n (not pron) , V n P
2.
If you draw up a chair, you move it nearer to a person or place, for example so that you can watch something or join in with something.
He drew up a chair and sat down.
= pull up
PHRASAL VERB : V P n (not pron) , also V n P