Posted: 20/04/2016 at 07:51
I can't open your pic I'm afraid but it sounds like bindweed. It can be difficult to eradicate.
Assuming that it is, weedkiller is the only way if there's a lot, as any pieces left when you dig it out will just regrow.
If you can, you can cut it all back and then apply a suitable spray to the new growth when there's enough if it. That's usually the easiest method.
No doubt, some will argue about the use of chemicals, but frankly, you'll spend forever trying to dig it all out if it's taking over.