Place butter in a small sauce pan and heat on low until melted. Set aside.
In the bowl of your stand mixer beat the eggs and sugar for about 2 min (High speed) until light and fluffy. It will double in size. Add the cooled melted butter, French EVOO, vanilla extract and orange blossom water. Then, fold the Flour and Sea Salt. IMPORTANT: Do not overmix.
Bake for 30 minutes at 350F/180C. (Every oven heats differently, monitor your cake from 25min). It is ready when the toothpick inserted comes out clean.
Once your Madeleine Cake is out of the oven, let it cool down for about 10min. Then, Unmold, Serve and Enjoy at room temperature! Bon Appétit!