Preheat grill to medium-high heat and brush or spray the grates with oil.
Brush the slices of pineapple and mango with oil to prevent them from sticking to the grill grates.
When the grill is ready place the sliced pineapple and mango on the grates (flesh side down for the mango).
Grill the pineapple for approximate 3-5 minutes per side depending on the thickness of the slices or until nice grill marks form.
Grill the mango for approximately 3 minutes total or until nice grill marks form.
Remove the fruit from the grill and let it cool until it can be handled.
Cut the mango into slices then remove the skin and cut the flesh into small chunks.
Cut the pineapple into small chunks.
Place all of the ingredients for the salsa into a serving bowl and toss together.
Serve on top or alongside the chicken.