Mix goat cheese, garlic, and basil together in a medium bowl. Add heavy cream and mix together. The consistency should still be creamy but now it's easier to pipe into the peppadews.

Place a small round or star piping tip into a ziplock bag. Snip one corner of the bag so the tip can slide into place without falling through. Place all of the goat cheese mixture into the ziplock bag.

Take one peppadew and, using the piping bag, fill with goat cheese mixture until it fills up, about 1/2 teaspoon of mixture. Repeat with the rest of the peppadews until the goat cheese mixture runs out. Serve immediately.