Remove the pits from the peaches and slice ¼" thick. Drizzle with oil and toss to coat. Heat a grill pan until it’s very hot and oil it well. Place the slices on the pan and allow grill marks to form. Flip the slices and mark on the other side. Remove from the pan and allow to cool, then chop into little cubes.
When the bread is toasted and still hot, brush one side of each slice using 1 Tbsp of the honey. Top with peach cubes then crumble the goat cheese on top. Garnish with the basil leaves and serve.
Notes
We used goat cheese, but anything crumbly like blue cheese or feta will achieve similar results.