Pellon makes tons of different weight fleece/interfacings. You can get both fusible and regular fleece, they also have one called thermolam thats slightly thicker than their "fleece". Also I have found that the more I quilt a piece the stronger/sturdier the purse is. Google pellon and you will get lots of hits on the different websites that offer their products. Pellon is not the only company tho, there are lots out there. Good luck in your search, I hope you find the right product for your application.