He draws His elect, the ones He gives to Christ to save. The ones He draws are the same ones He gives Jn 6:37
37
All that the Father giveth me shall come to me; and him that cometh to me I will in no wise cast out.
Also the word draw in Jn 6:44 is made from the greek word
haireō:
- to take for oneself, to prefer, choose
- to choose by vote, elect to office
Its the same word used here 2 Thess 2:13
But we are bound to give thanks alway to God for you, brethren beloved of the Lord, because God hath from the beginning
chosen you to salvation through sanctification of the Spirit and belief of the truth:
So the method is His own Sovereign choice, thats who He draws.