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Might be Virginia Creeper. That adheres with little suckers.

Here is a link that might be useful: images

Thanks Ronnie. After reading about it this vine seems very invasive. Should I look at other choices or is this a good solution to cover a concrete wall? I like the fact that it changes with the seasons and loses its leaves. Any other ideas or is this a good choice?

Here is a great list of vining options:

Bignonia capreolata
Creeping fig
Passiflora
Tecoma capensis
Aristolochia

You will need to google.com each one and see if it will grow well in your area.

This GW link talks about this very topic - please read this thread:

http://forums.gardenweb.com/forums/load/calif/msg0700134427477.html