Heat the oil in a large pot over medium heat. Add the onion and cook for 4 minutes until it softens.
Stir in the garlic and ginger. Cook for 1 minute until fragrant. Add the curry paste and stir for another minute.
Add the pumpkin cubes, black beans, coconut milk, vegetable broth, and salt. Stir to combine. Bring the mixture to a simmer.
Cover and cook for 15 minutes, stirring occasionally, until the pumpkin is tender. Stir in the lime juice and taste for seasoning.
Ladle the stew into bowls. Top each serving with chopped cilantro and serve with lime wedges on the side.