Cover two sheet pans with parchment paper and spread out almonds over one of the sheet pans.
In a food processor, combine almond paste and sugar until well blended and almond paste is broken down.
Add the egg whites and process until a wet dough forms.
Spoon the dough into a pastry bag fitted with a large, plain, round tip.
Pipe four to six inch long cylinders of dough on top of the crushed almonds on the reserved sheet pan.
Gently roll the dough in the almonds, coating them completely. Transfer each one to the clean large sheet pan, bending each so it creates a horn shape.
There will not be room to put them all on one sheet pan, so place the remaining horns back onto the nut covered sheet pan. The horns should be spaced 2 inches apart.
Bake for approximately 12-15 minutes, or until nice and brown. Allow to cool.