Adjust oven racks to the upper and lower middle positions and pre-heat oven to 425˚F.
Working with one sheet of puff pastry at a time on a lightly floured work surface, cut each pastry sheet into four equal squares.
Working with one square at a time, fold each side of the puff pastry 1/2-inch, and then unfold to form a crease.
Brush the 4 corners with egg wash and then pinch each corner to from a 4 cornered lipped square.
With a flat spatula transfer the dough squares to a parchment-lined sheet pan, spacing them about 2 inches apart. (4 per sheet)
Sprinkle each square with 1/2 teaspoon sugar, then sprinkle with 1 tablespoon grated almond paste. Arrange fruit on top of almond paste and add another layer of sugar and almond paste.
Bake in preheated oven until golden brown, switching and rotating the sheet pans halfway thorugh baking to ensure even browning, 15-20 minutes.
Slide parchment with tarts onto rack to cool.
With the pastry brush, brush the tarts with the melted apricot jam.
Serve with vanilla ice cream or sweetened whipped cream and a mint leaf to garnish.