"Back away from the window and come to me."
Translation:Отойди от окна и подойди ко мне.
Приди ко мне is more of a thing you say to a demon or a spirit.
(you also can sort of use it to tell someone come to you in the future)
If you're disappointed or sick it's the common phrase to ask somebody to visit you. Подойди - somebody is close to you, at the next room, he/she can hear you. Прийди - somebody is nearby or far away, at the next house, she/he can hear you on the phone. The main difference in a distance.