Plant Identification Help Please

Pretty Pink Flowers

Can anyone please tell me what this plant is? It appears to be some sort of vine. It has unusual leaves, small white flowers that look similar to jasmine, but there is no smell. This thing is climbing all over my fence from the neighbour's side. In the past few weeks, this has grown a good 1-2 feet taller than my 6 foot fence and it's starting to grow up the side of my house and drain pipes and smothering the camellias on my side of the fence. I'm wondering if I should be concerned or if it's just annoying but harmless vine of some sort. 
 
I've also had some sort of vine popping up underground primarily coming from underneath said fence, but this vine seems to be spreading throughout my garden now. It appears to 'know' where my plants are and sneaks up next to them and before you can blink it's wrapped itself around my plant and is circling it's way up the branches. Whatever it is is very fast growing and spreads underground. I wonder if the thing growing over my fence is the same thing that is spreading underground?

Borderline

The top 3 photos are Jasminum Officinale. The bottom 2 photos are Bindweed. Not the same. 

K67

 campsis? But don't think they come in white. Doesn't look like a white Solanum as they have yellow centres. Sorry not very helpful!

Lyn

I think Borderline is correct. 
Best to remove that bindweed. 

K67

Would the Jasmine have a scent?

Pretty Pink Flowers

Thank you both! I thought it looked like jasmine, but there is no smell at all so thought perhaps it might be something else. Do you know if jasmine will have any affect on my house, gutters and/or fence? It would appear the neighbour has planted it against my house wall and connecting fence. The plant is making it's way up my wall and has now grown over the fence and is inches away from my drain pipe. Another few feet and it will be on my roof (which is single story in this location). Also, I'm guessing jasmine roots are not likely to damage the foundations or the waste pipe this has been planted directly on top of?

As for the bindweed, I've been reading that me continually cutting off the vines as they appear might eventually stop it growing as it forces the plant to put out too much energy to keep producing new vines. Anyone else had experience with that? I hate to use weed killer and especially as it seems to be popping up right next to plants that I would like to keep.

Thank you again!!:)

Pretty Pink Flowers

K67 said:

Would the Jasmine have a scent?

That's what I thought, that jasmine would have a smell. However, there is no smell at all from this plant.

Borderline

Jasmines in the right conditions will grow vigorously, but unlikely to cause any harm to your property.

The Bindweed will need digging out. But very difficult to really remove completely. Put this in as part of your weeding regime. If you have a dense border, filled with plants, stick some canes into the soil and train then into the cane so it’s less likely to strangle your other plants. When it’s time to weed, you have a point to start from.

Pretty Pink Flowers

Oh that's a brilliant idea! Thank you! I'll stick a few canes into the borders over the weekend. Anything to make the weeding easier! 

Good to know the jasmine won't cause harm. That neighbour is rather 'difficult' so I'd prefer to just leave the plant alone as much as possible if it won't do any bother.