In medium bowl, mix together blackberry fruit pulp, water and agave, stirring until agave dissolves.
Evenly divide blackberry mixture among eight 3-oz. ice pop molds. Transfer molds to freezer; freeze until slushy, about 1 hour. Insert popsicle stick into each mold. Freeze until ice pops are solid, about 3 hours more.
To serve, quickly run bottom of molds under hot water before unmolding.
Serve baked apples, pears, or enjoy a fruit salad. Or, serve yummy frozen fruit bars instead of high-calorie desserts.