Drain the cooked beetroot well and cut larger pieces into wedges or thick slices.
Add the balsamic vinegar and brown sugar to a large skillet or saucepan.
Place over medium heat and stir until the sugar dissolves.
Simmer for 2 to 3 minutes, until the mixture starts to thicken slightly.
Add the beetroot and thyme leaves.
Stir gently to coat the beetroot in the glaze.
Simmer for 5 to 8 minutes, stirring often, until the glaze becomes glossy and coats the beets.
Remove from the heat and rest for 2 minutes.
Serve warm or at room temperature with extra thyme or parsley if desired.