Combine the raspberries, sugar, raspberry jam, chile powder, and lime juice in a pot over medium heat and let simmer gently until thick and syrupy. Remove from heat and let cool.
Cook's Note: Mango and chile are a classic combination. The sweet works beautifully with the heat. In cities where there are large Latino populations, it's common to see fruit carts selling chopped up mangos in plastic bags sprinkled with chile powder.