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These headphones come in a mesh bag - but if you need a case, it would have to be the size of the box they come in - as they are NOT foldable. Your best bet would be to put them in the original box for transport because it's quite stable and takes up the least amount of space.
No case, headphones not earbuds. I just toss it in my backpack.
They come with a pouch/bag to hold and protect headphone.
Case comes with the headphones. Softcloth material.