Prepare fruit: Preheat oven to 400 degrees. Pull apart apricots at their seam, remove pits, and tear them one more time into quarters, placing them in small baking dish (one that holds two to three cups is ideal). Stir in sugar, flour and pinch of nutmeg.
Make topping: Melt butter and stir in sugar, then oats, then flour, salt and almonds until large clumps form. Sprinkle mixture over the fruit. Bake for about 30 to 40 minutes and serve warm.
Serve with a scoop of plain yogurt or ice cream.