Preheat your oven to 180°C (350°F). Place the pie crust in a 9-inch dish and pre-bake it for about 8 minutes until just starting to turn golden; this helps keep it crisp.
Trim the woody ends off the asparagus, then cut into 2-inch pieces. Rinse the spinach and squeeze out excess moisture to prevent sogginess.
Heat a splash of olive oil in a sauté pan over medium heat. Add the asparagus and cook for about 4-5 minutes until tender and slightly browned, filling the kitchen with a toasty aroma. Remove and set aside.
Add the spinach to the same pan and cook until wilted, about 2-3 minutes. Let it cool slightly, then chop roughly for even distribution in the filling.
In a mixing bowl, whisk the eggs until they become frothy and slightly pale. Stir in the cream or milk, a pinch of nutmeg, salt, and pepper for a well-seasoned custard base.
Spread the cooked asparagus evenly over the bottom of the pre-baked crust, then layer the chopped spinach on top. Sprinkle the grated cheese over the greens for a cheesy, melty layer.
Pour the egg mixture gently over the assembled ingredients, allowing it to seep into all the nooks and crannies. This will create a luscious, creamy filling once baked.
Place the quiche in the oven and bake for about 35-40 minutes until the top is golden brown and the filling is just set, with a slight jiggle in the center. You'll hear a gentle bubbling around the edges.
Remove the quiche from the oven and let it rest for 10 minutes. This allows the filling to firm up, making it easier to slice neat pieces without crumbling.
Slice the quiche with a sharp knife and serve warm or at room temperature. The golden crust, tender greens, and cheesy custard make for a satisfying, beautiful presentation.