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Fabric might be better if you're prepared to put a smidge more time into it than just sticking it on: http://www.ebay.co.uk/itm/Black-High-Visibility-Reflective-Sewing-On-Fabric-Tape-50mm-Width-5-Lengths-/151068871391?pt=LH_DefaultDomain_3&var=&hash=item232c680adf
You could use textile glue if you can't be bothered with the faff of using a needle.
I don't suppose you've got a link or a part number or anything? I ordered some ages ago to do a bag but it was too thick and peeled off. That stuff looks like it would wrap and actually stick to my bag.