In a food processor or blender, puree the rice vinegar, blackberries, honey, ginger, lemongrass, sesame oil, and a sprinkle of salt and pepper, until combined and smooth. Set aside.
Brush the salmon filets with chili garlic sauce.
Heat a grill to medium. Oil the grill grates very well; cook the salmon for about 5 minutes per side (for medium to medium well.) Remove from heat and let rest for 5 minutes. The salmon is done when it flakes easily with a fork.)
Serve the salmon with the blackberry sauce and your favorite green vegetable.