In a jar with a screw-top lid, combine vinegar, olive oil, brown sugar, salt, and pepper. Shake vigorously until combined.
In a medium bowl, combine Brussels sprouts and shallot, stirring well. Pour vinaigrette over Brussels sprouts mixture, tossing to coat. Cover, and refrigerate until cold, approximately 4 hours.
Preheat oven to 350°.
Line a rimmed baking sheet with parchment paper.
Place phyllo cups 2 inches apart on prepared baking sheet. Place a cheese cube in each phyllo cup.
Bake until cheese melts, approximately 5 minutes.
Add pecans to slaw, tossing to combine. Fill each phyllo cup with slaw.
Serve immediately.
Recipe by TeaTime Magazine at https://teatimemagazine.com/smoked-gouda-cups-with-brussels-sprouts-slaw-recipe/