Preheat oven to 400 °.
Wrap beets in foil and place on baking sheet, roast in the oven for 50 minutes. They will be done when you can easily pierce with a fork.
Let beets cool, and wrap beet in a paper towel, rub and the skin should remove easily. If some skin doesn't come off use an outer edge of a spoon to rub off.
Slice beet into 3/4" slices.
Using a 2"-3" heart shaped cookie cutter cut out the shape of a heart with beet. This is optional.
Place beet slices on a plate.
In a small bowl add goat cheese and using a fork, mash goat cheese until smooth and add 1 tablespoon of chopped pistachios and blend.
Drop a dollop of goat cheese on top of beet slices.
Sprinkle salt and pepper over each plate
In a small bowl whisk together olive oil and balsamic and drizzle over evenly.
Sprinkle remaining pistachios over top followed by torn basil leaves.