In a medium bowl, whisk together the buckwheat flour, water, and one of the eggs until a smooth, thin batter forms.
Heat a large non-stick skillet over medium heat and lightly grease with a tiny drop of olive oil if needed.
Pour half of the batter into the skillet, swirling quickly to create a very thin, even layer that covers the bottom of the pan.
Cook for about 2 minutes until the edges become crisp and start to lift, then carefully flip the crepe.
Layer half of the smoked turkey in the center of the crepe and crack one of the remaining eggs directly onto the turkey.
Cover the skillet with a lid for 2-3 minutes, allowing the egg white to set while keeping the yolk runny.
Fold the four sides of the crepe toward the center to create a square shape, leaving the egg yolk visible in the middle.
Repeat the process with the remaining batter, turkey, and the final egg.
In a small bowl, whisk the olive oil, lemon juice, sea salt, and black pepper to create a dressing.
Toss the mixed baby greens with the dressing and serve the fresh salad alongside the warm buckwheat crepes.