In a bowl, combine all the ingredients for the burgers and mix together very well. Form 8 small patties and set aside on a plate.
Mix together the mayonnaise and the roasted peppers and season with salt.
Cook the burgers in a cast iron frying pan with the oil until the internal temperature reaches 70ºC/165ºF, approximately 4 minutes per side on medium heat.
Remove from heat, top each patty with 2 squares of cheese and cover the pan.
Divide the mayonnaise between the bottom halves of the 8 buns and then top each with 2 leaves of basil and followed by the patty. Add the top of the bun and a pickle on a pick to hold it together.
