Step 1

Combine the first 4 ingredients in a blender; purée until smooth. With machine running, slowly add oil, drop by drop, to make a creamy dressing. Transfer dressing to a bowl and stir in 1/4 cup Parmesan. Season to taste with salt and pepper. Cover and chill. DO AHEAD: Dressing can be made 2 days ahead. Keep chilled.

Step 2

Separate egg white from yolk. Place egg white in a coarse-mesh strainer set over a bowl. Press egg white through strainer with the back of a spoon; scrape egg white from bottom of strainer. Repeat with egg yolk, using a clean strainer and bowl. DO AHEAD: Can be made 6 hours ahead. Cover bowls separately and chill.

Step 3

Toss kale and dressing in a large bowl to coat. Season to taste with salt and pepper. Top with remaining 1/4 cup Parmesan and sieved eggs.