In a large pan over medium heat, add the olive oil and sausages. Cook them until they are browned on all sides. Remove from the pan and set aside.
In the same pan, add the chopped onion and garlic. Sauté until the onion becomes translucent.
Stir in the curry powder and cook for another minute until fragrant.
Pour in the vegetable broth, coconut milk, and tomato paste. Stir to combine.
Return the sausages to the pan and bring to a simmer. Cook for about 20 minutes.
In a small bowl, mix the cornstarch with a little water to form a slurry. Add this to the pan to thicken the sauce.
Season with salt and pepper to taste and serve hot.