Mix together the finely grated cheese, sunflower seeds, and chives in a bowl.
Fill a tablespoon with the mixture and carefully turn it out onto the parchment paper, leaving a few inches in between each pile. The cheese will spread as it melts. Make sure the seeds are touching the cheese.
Bake for 5 minutes, then cool on wire racks. Serve at once. Store in an airtight container if they don't all get eaten immediately.