Bindweed control

hi,

hoping soneone can offer some advice on bindweed. we have a lot of it that runs down the fence in our front garden of a flat we have just bought. My girlfriend actually quite likes the flowers and I don't find them too offensive plus it Offers quite a bit of privacy from a private road that runs alongside it. We just want to get in under control and stop it wrapping itself around the flowers on our garden side of the fence. 

everything looks dead at the minute so I have started to trim it back - hopefully this was the right thing to do! Some pictures below. 

Thanks in advance for help.