Preheat a grill to high. Brush the pineapple and bell pepper with canola oil; grill, turning, until the pineapple is golden brown on both sides and the pepper is slightly charred, about 6 minutes.
Let the bell pepper cool, then peel, seed and dice. Dice the pineapple and place in a bowl. Add the bell pepper, jicama, red onion, chiles, vinegar, olive oil and basil; season with salt and pepper and toss.