Add the coconut milk, peeled ginger, basil, ground turmeric, and lime juice to a blender and blend until very smooth.
Pour the blended sauce into a large skillet or pot and heat over medium-high until it begins to simmer.
Add the chopped carrots, broccolini, and chopped yellow squash to the skillet and bring back to a boil; cook 2–3 minutes until vegetables begin to soften.
Make space in the skillet and nestle the salmon fillets into the sauce, skin-side down if applicable.
Cover the skillet and cook 15–20 minutes, until salmon is cooked through and vegetables reach desired tenderness.
Serve the curry hot alongside cauliflower rice or your preferred side.