Mix ricotta cheese, honey, and cinnamon in a medium bowl, stir until smooth and set aside.
Preheat grill to medium-high heat.
Brush the cut sides of the melons with olive oil and sprinkle with salt.
Place melons cut side down on the hot grill. Close lid cover and grill for 5 minutes or until they are lightly charred.
Transfer melon halves to a serving plate. Spoon ricotta mixture into the cavity of each melon.
Drizzle with honey and garnish with almonds, cookies, and basil to serve.