Preheat Oven to 375F or 190C
To prepare the Frangipane (almond) cream: In a medium mixing bowl, use a whisk to beat the butter and sugar, add the eggs one by one, the almond flour, the rum (or vanilla extract), almond extract, pinch of salt until smooth.
Spread the Frangipane cream in the prebaked tart shell.
Cut the stone fruits into nice slices. There's no need to peel the nectarines, plums or abricots. But if using peaches, they should be peeled. Display the slices on top of the Frangipane cream. Add the berries, if used.
Bake in preheated oven for 35 minutes. Remove the tart from the oven. The Frangipane cream should look golden. Let cool.
Meanwhile, heat the apricot jam, add 1/2 teaspoon water (or rum) to make it more liquid. Strain and brush on top of the tart as glaze.
Enjoy while warm or cool!