Bloody bindweed! What really works?

[Botoxbotox]

I have bindweed sneaking in to my border from next door.
The guy there has zero interest in his garden (I even offered to pull up the bindweed and brambles to stop them coming over to my side and he said no).
What can I do? It seems like a mile a minute at the moment, I'm out there every evening pulling it up.

Round Up gel. Put it on every leaf you can find. The plant will absorb it and it will die without killing other plants nearby.

Is bindweed morning glory? With the white trumpet flowers? We've embraced ours, we rip bits out if it goes where we don't want it, but it's free to climb all over the wall/fences, though it has to compete with thunbergia and ivy and nasturtiums and various other ramblers.

No idea how you'd get rid of it altogether if it's coming from someone else's land, sorry.

I read once that Kew gardens train it up garden canes and then paint the leaves with weed killer that will go into the roots and kill it. The cane protects other plants from the weedkiller and also gives it somewhere to grow (other than where its not wanted) until it dies.

I feel your pain. And why does it have to come up right next to one’s carefully planted flowers? I planted some sweet peas a couple of weeks ago and yes, there they are coming up right next to them.

I tug ours out every 2-3 days in summer. It's ok if you keep on top of it but god help you if you go on holiday. Our 4ft cabbage tree was swamped with it after a 2 week holiday in 2019 and still hasn't fully recovered

We have neighbours with an abandoned section of garden that is overrun with it. They have a very big garden so can afford to ignore the bindweed and dilapidated greenhouse in a section as big as our whole garden (which is slightly above average size).

My neighbour is the same except it's ground elder and bindweed coming through the boundary. I will not use chemicals so I just pull it up every 2-3 days. The elder I've been digging out for 5yrs. I won't win but I keep it at bay.

I have the solution to this. It needs to be a decent length. You coil it up and stick it in a sandwich bag. Squirt weed killer in the bag then put a brick on it to stop it blowing away. It soaks up the weed killer and it gets to the root. Once its dead bin the bag. It's the only thing I use weed killer on

hedgehogger1 suggestion sounds the best. Unfortunately if you pull it up the roots just multiply underground. I cut it off at the base rather than pull it up. It's an absolute pain to eradicate.

Thank you all so much for your replies.
@Greensleeves if I had a bigger garden and was braver I might just follow your lead, but I daren't in my small garden, it'd strangle everything.
I think I'm going to have to get aggressive with the weedkiller. It's fairly rampart around my little part of the world, and you can see a mile off who has an interest in gardening or not just by the volume of bindweed around gates, fences etc, so I fear I'm on a losing battle just due to the sheer volume nearby.