I had that obnoxious stuff growing up from under some hemlock trees at my
last home. Really tough to get rid of. I would yank it out of the ground as
best I could on a weekly basis. Also yank it out out of the trees. I never
could seem to pull any roots out, even when the soil was moist & loose.

I had reasonable success with roundup on freshly emerged vines that were not
coming up in the middle of my perrenial beds. When it did come up in the
middle of planted beds or lawn, hand pulling kept it in tow pretty well, as
long as I did it very regularly.

I have to say the bindweed is the one & only plant I don't miss, now that I
have moved & started anew with gardens at my new property. Good luck to you
in your battle.