It looks like the first set is made of different pieces of felt. Very creative! The second set with the owls appears to be actually fabric. I do quite a bit of applique for my daughters (tops to match their pj bottoms that I sew) and I think if you used the iron on stabilizer that I do for that you could iron the owl directly onto the felt. It would be firm, but flexible and it wouldn't fray as easily. Just some ideas, hth.