Step 1

Heat oven to 450 degrees. Add the cabbage to a rimmed baking sheet and toss with olive oil, salt and pepper to coat. Arrange in an even layer, then scatter the kielbasa on top. Roast without flipping until cabbage is tender and charred in spots and the kielbasa is deeply golden, 25 to 30 minutes.

Step 2

Meanwhile, in a medium bowl, stir together 1/4 cup olive oil with the vinegar, dill, shallot, mustard, 2 teaspoons salt and a few grinds of pepper. Add the beans and stir to combine.

Step 3

Divide the cabbage and sausage among plates and spoon the beans and vinaigrette on top.