Brush the scallops on both sides with the oil and sprinkle with salt and pepper. Grill the scallops until golden brown and slightly charred and just cooked through, 2 to 3 minutes per side. Remove from the grill and slice in half into 2 coins.
Spread about a tablespoon of Avocado Puree over each chip. Top the puree with a scallop, grill-side up, and top each scallop with a dollop of the Jalapeno Pesto. Garnish with cilantro leaves.
Combine the cilantro, onions, oil, lime juice and avocado in a food processor and process until combined, but still chunky. Puree until smooth if desired. Season with salt and pepper.
Combine the cilantro, pine nuts, jalapeno, garlic, and some salt and pepper in a food processor and process until coarsely chopped. With the motor running, slowly add the oil and process until emulsified. Scrape into a bowl.