Place a sheet of phyllo on a working surface and brush with olive oil. Layer 3 more phyllo sheest over the first one and brush each with olive oil. Cut in 12 squares about 3X3 inches (7X7 cm) each. Each square with be 4 layers of phyllo.
Repeat with 4 more phyllo sheets and cut in 12 squares.
If you are using large phyllo sheets, you will only layer 2 sheets and then fold in half. Alternatively, you can use ready-made phyllo shells and skip this step.
Coat a mini muffin pan with olive oil and place the phyllo in the pan.
Slice feta in cubes about 1 X 1 inch (2.5X2.5 cm) weighing about ¼ of an ounce (7 g) each.
Place in each phyllo cup and bake for 15 minutes.
In the meantime, toast the sesame seeds in a little pan until golden for 1-2 minutes.
Once cups are baked, remove from oven and lightly press feta with a small fork.
Remove from pan, place on a serving platter, drizzle with honey, sprinkle with sesame seeds and serve.
Notes
Tips
Make sure you defrost the phyllo in the refrigerator before using. Do not try to use phyllo that has not defrosted completely, because it will break.When working with the phyllo, make sure that you keep it covered completely with a damp kitchen towel, work with one sheet at a time.Make sure most of the surface of the phyllo is covered with olive oil, otherwise you will have a paper like texture not a crispy one.
Make ahead:
Once baked, do not add the honey, let them cool, close in a sealed container and place in the fridge. They will keep for 1-2 days. When ready to serve, reheat in the oven at 325 F (160 C) until crunchy. Then drizzle with honey and sprinkle with sesame seeds.