Add the strawberries to a small bowl and drizzle with honey, tossing to combine. Arrange strawberries in an even single layer to a glass or ceramic baking dish.
Bake until the strawberries turn dark red and a syrup forms in the pan, about 1 hour and 30 minutes. Remove and let cool to the touch.
Heat a grill or grill pan over medium-high heat. Add the bread, cooking until grill marks appear, about 2 minutes. Remove and set aside until ready to serve.
Add the burrata to a large plate and top with the roasted strawberries. Drizzle with the olive oil and balsamic and top with basil leaves. Serve immediately with grilled bread.