I agree it is difficult to get rid of, but not impossible.
What I've done in the past, is cut through the stems close to the ground the pull up and away, the vines clinging to the wall to remove it.
To avoid regrowth, the remaining lower stems can be treated with a herbicide such as Brushwood killer or a glyfosate based weed killer.
Be sure to paint the weedkiller onto the cut ends of the stems otherwise it may not penetrate the plant tissues eficiently.