Near the Armenian Cathedral, you can see a splendid edifice from the 17th century where archbishops were seated.
More information http://lviv.travel/en/index/what_to_do/architecturelviv/historicalplaces/~1467/the-palace-of-armenian-archbishops
Address 7 Virmenska Str., Lviv, Ukraine
Coordinates 49°50'35.25" N 24°1'52.176" E