In a mixing bowl, beat together butter, sugar, brown sugar, salt, almond extract and chopped almonds until blended.
Slowly add flour, 1/2 cup at a time, mixing until combined.
With lightly floured hands, roll small balls of dough and place on cookie sheet, leaving a little space between each.
With the back of a spoon or your thumb, press into center of each cookie to make a well. Add a small spoonful of apricot jam, or any other favorite preserve into the center of each cookie.
Bake for approximately 10 minutes. Do not overcook. Cool completely on a wire rack. Optional: Sprinkle with powdered sugar before just before serving.