E-6000 High Viscosity Crystal Clear SUPER STRONG Glue
E6000® Dries Clear & Paintable, Washer/Dryer Safe, Photograph Safe, & Waterproof. This is the glue I recommend to set eyes in your vinyl dolls. I don't know of a better or stronger glue. I do NOT recommend using it to glue mohair inside the head. It's so strong that you can mend torn vinyl with it! Amazing stuff.