If using fresh grape leaves, blanch them for 45 seconds in boiling water and then rinse and pat dry. For jarred grape leaves, drain, rinse, and pat them dry.
In a Dutch oven or thick-bottomed pot over medium heat, toast the pine nuts for 3-4 minutes until lightly golden, then set them aside.
In the same pot, heat olive oil for 60 seconds over medium heat. When the oil is hot, sauté onions for three minutes until slightly translucent.
Add the rice, water, lemon juice, and tatli biber salçası (or tomato paste) into the pot. Stir in diced tomatoes, currants, dried mint, black pepper, cinnamon, sugar, and salt. Place a lid on the pot and bring up to a vigorous steam over high heat. Then reduce the heat to low and simmer for 15-18 minutes covered until the rice is just tender.
Remove from heat and stir in the toasted pine nuts, fresh dill, and finely chopped flat-leaf parsley into the rice filling.
Place a grape leaf on a clean surface, add a tablespoon of the stuffing, and roll it tightly, tucking in the sides like a thin burrito. If there are any tears in the grape leaf, you can double wrap using a second grape leaf. Repeat with all grape leaves and stuffing.
Line the bottom of a pot with a few additional grape leaves to prevent sticking, arrange the rolls over the bottom (it’s ok to stack them), drizzle all over with olive oil, and add water. Bring to a vigorous steam over medium heat, then cover and simmer over low heat for 30-35 minutes.
Serve either hot or at room temperature and garnish with parsley leaves, additional pine nuts, and lemon wedges.