Stitch Witchery is an iron on product. I recently used it to "hem" a halloween costume for my daughter. It bonds very tightly when ironed properly so make sure you have it where you want it before ironing.
*That being said.. I strongly suggest
testing in on a swatch BEFORE
you use it on your purse. Also acrylics can melt so depending on what you used to make it keep that in mind. Better to test it on something so you don't ruin all your hard work.