Thank you for all the answers.
I know one plant in the pics shown is ivy. this comes over from the neighbour too! but unlike the bindweed, I do like the ivy, but cut it back does it does not spread to much!
The pics are poissibly not the most persuading ones, as I have cleared the bindweed, but not the ivy
But as some of you have pointed out already, the bindweed is visibly on the pic which shows the garden of the neighbour.
I ordered this glysophate stick for now, if this is not succesfull I am going for the concentrate self-made gloopy glue option, some have mentioned.
I do not mind digging out and applying glysophate over and over again, if I know one day in future it will be gone!
Living on a terraced house, I do not want to pick a fight with the neighbours and asmentioned already, even if I would talk to them, I do not think they will mind the bindweed.
They pull it all off on the surface once a year, put it in black bin bags, which are afterwards piling up in the garden! Even too lazy to take out the bin bags that folks!