Preheat oven to 350 degrees. Line a 9 inch by 12 inch baking pan with parchment paper allowing the paper to stick up by a couple inches on two sides.
Place the almonds and sesame seeds on separate baking sheets. Toast the almonds and sesame seeds until warm, lightly browned and fragrant – about 10 minutes for the almonds and about 5 or 6 minutes for the sesame seeds. Watch carefully so they don’t burn. Let cool slightly.
Place the pistachios in a food processor fitted with a steel blade and grind until they are coarsely chopped. Add the almonds, apricots, cherries and salt and process until the nuts and fruit come together in a sticky ball. Add the oil and agave honey and process until you have a thick cohesive dough. Add the sesame seeds and process in long pulses until they are blended into the dough.
Press the mixture into the prepared pan evenly and firmly. Refrigerate until cold and firm, about 1 hour. Pull out the parchment paper with the chilled mixture out of the pan and cut into 12 squares.