Can I complete the quest "Paarthurnax" after the main quest?

The Blades gave me the Paarthurnax quest, but I decided to hold off until I finished the main quest line:

Once Alduin is defeated, it seems that Paarthurnax took over or something, he has flown away. I can't find him anywhere.

The Blades won't speak to me until I complete the quest: is there any way around this? Or is it too late?


Solution 1:

Fast travel around a bit and then back to the Throat of the World, he should be hangin out on top of the dragon wall eventually ready to get stabbed.