Cut avocado in half lengthwise; remove pit. Set each half, cut side up, on a salad plate. Spoon 1 tablespoon salsa into each cavity. Set lime halves and tortillas alongside.
To eat, squeeze lime halves over avocado and sprinkle with salt to taste. With a fork or a spoon, mash avocado slightly with salsa in peel, then spoon mixture onto tortillas.