Every week he will be in 1 of 2 spots in the tower halls. From left to right as you spawn in to the tower: 1. The far left corner next to the speaker, by a balcony facing the city. 2. The door way across from the speaker. 3. The crucible hall across from shax, next to the quartermaster. 4. To the right of the abandoned quest kiosk in the vanguard hall. 5. In the hangar bay to the right as you see the ships arrive. 6. In the pilots lounge in the very back past the bar. This week he was in location 3. Depending on your time zone Xur can be in the tower as late as 2 am Sunday morning.

Xûr has left the tower. He will be back on Friday.