He is currently binding wounds at the gates of Rome (Edom) from whence he will come to bring about the Messianic Era.
Kinat Ad*nai Tzevaot says that there is a Great Rome and there is a Small Rome and there the Mashiachim (Sar HaPanim) sit, one in terms of Great Rome and one in terms of Small Rome and from there the sparks needed for Israel are sorted. And their suffering eases the punishment of Israel.