Soften the gelatin in a little cold water.
Drain apricots, reserving all juice, and cut into small pieces.
Measure the amount of juice and add water, if necessary, to measure 1 1/2 cups of liquid total.
Combine this liquid with the gelatin.
Allow to set for 20 minutes.
Combine the apricots, thickened juice, sweetener, and lime juice.
Refrigerate until slightly thickened.
Fill parfait glasses with the apricots and chill until ready to serve.