Can anyone recommend some foldable shoes?

[DameCelia]

I travel a lot for work and usually wear heels for formal conferences, meetings, presentations. I need flat shoes for getting to meetings but something I can fit in my bag when I change into heels.
Can anyone recommend and foldable shoes?
I've looked at Coco Rose but don't know if there's anything better around?

Do you really need foldable? Just wondering because surely you need a space in your bag for the heels when you are wearing the flats?

I don't mind carrying a separate bag with the heels in on the way but when I get there I want to be able to slip the shoes I travelled in into my laptop case. I don't want to carry a tote bag big enough for shoes and laptop because I can't carry it easily over my shoulder, and I don't want to carry more than one bag.