Preheat the oven to 180 C. Mix the Thai curry paste with the oil. Slather the chicken pieces with it on all sides. Roast for 20-25 mins until golden and cooked through. Rest until cool enough to handle, then shred the meat with your fingers. Set aside.
Make the dressing: mix/shake all the ingredients listed under ‘dressing’ in a bowl/jar. Taste and adjust seasoning.
Toss the vegetables, herbs, peanuts, sesame seeds, and chicken together in a bowl. Dress the salad just before serving.