Bake until crust is golden brown, about 30 minutes. Cool tart on wire rack. Meanwhile, lightly grease 2 large cookie sheets. Place dough piece atop nuts and sprinkle with more ground almonds. Cut out 2-inch Stars of David and other shapes using cookie cutters.
Transfer cookies to prepared cookie sheets.
Bake until golden brown, about 15 minutes. Transfer to rack and cool. Repeat with remaining dough piece and ground almonds. Melt apricot preserves with 2 tablespoons wine in small saucepan over medium heat. Strain into small bowl and cool slightly.