1. Heat 1 tablespoon of the olive oil over medium heat in a heavy skillet and add minced garlic. Cook, stirring, until fragrant, about 30 seconds, and add thyme and chopped kale. Cook, stirring, until kale is nicely seasoned with garlic and oil, about 1 minute. Season to taste with salt and pepper and cook until kale is bright green and tender, about 5 minutes more. Transfer to a bowl and keep warm.
2. Heat remaining oil over medium-high heat in the same skillet and add beans and broth. Stir and mash the beans with the back of a wooden spoon until the mixture is slightly thick but not dry. Be careful not to overcook as the beans can dry out quickly. 10 minutes should suffice.
3. Add pepper to taste, stir in sage and remove from the heat.
4. Lightly toast bread and as soon as you remove it from the toaster rub each slice with the cut clove of garlic and slather on a generous spoonful of beans. Top beans with kale, drizzle on more olive oil if desired, sprinkle with Parmesan and serve, or heat through for a couple of minutes in a medium oven and serve.