Preheat the oven to 375°F (190°C).
Lightly grease 2-3 ramekins with coconut oil or vegan butter.
Dust the inside of each ramekin with cocoa powder to prevent sticking.
In a heatproof bowl, combine the chopped dairy-free chocolate and coconut oil.
Melt using a double boiler or microwave in 20-second intervals, stirring until smooth.
In a small bowl, mix 1 tablespoon ground flaxseed with 3 tablespoons water.
Let sit for 5-10 minutes until it thickens to an egg-like consistency.
In a large mixing bowl, whisk together plant-based milk, vanilla extract, and maple syrup (or coconut sugar).
Add the flax egg and whisk until combined.
In a separate bowl, sift together the flour, cocoa powder, baking powder, and salt.
Slowly fold the dry ingredients into the wet mixture.
Pour in the melted chocolate mixture and gently stir until fully combined.
Divide the batter evenly among the prepared ramekins, filling them ¾ full.
Place a small piece of dairy-free chocolate in the center of each ramekin and cover with a little more batter.
Bake for 10-12 minutes, until the edges look set but the center remains slightly jiggly.
Remove from the oven and let sit for 1-2 minutes.
Run a knife around the edges and carefully invert onto a plate.
Serve immediately with dairy-free ice cream, fresh berries, or a drizzle of vegan caramel sauce.