Add flour and salt to a bowl and stir to combine. Slowly add water, mixing, until dough is supple and no longer sticking to your hands. Transfer dough to a cutting board and divide into four pieces. Cover in plastic wrap or dishtowel and set aside to rest for 10-15 minutes.
Roll each piece of dough into 20-22.5 centimeter circles. Heat some olive oil in a large skillet over high heat. Fry one circle of dough at a time, flipping when the underside starts to expand and turn golden-brown, then fry the other side until golden brown. Transfer fried bread to a paper towel-lined plate to soak up extra oil.
Serve fried flatbread with heaps of spicy tomatoes over top. Garnish with basil leaves.