Lady Giulia's Bower

I don't know why I think of the grumpy medieval lady I bought a few weeks ago as 'Giulia', but she has given a bit of focus to the messy and unused area to the southeast of the house. There's a steep rise here because the house is cut into the hillside; to the left is the enclosure where my predecessor kept ducks. I've popped Giulia on the plinth of a staddle stone which sat pointlessly in the former scullery area within the trellis which was the duck run, and taken down some of the fencing so you can go right round out of the back garden, past the statue and out to the front. What I need to do is find a nice climbing plant which can cover up the trellis and fence and screen Giulia off in her own discrete area.