My three year old daughter just does not like vegetables. In the name of vegetables, all she eats are - potatoes (in any form), onion/ tomato/ garlic that I use to cool Lentils. And she is fond of mushrooms (but that's not a vegetable). I have tried various tricks like wrapping in the roti or making a sandwich or a homemade pizza... She'll just spit out the veggie piece.

My nephew is exactly the same. You can try giving her "white" vegetables like cabbage and cauliflower as those are sweeter and a milder "vegetable" taste. For the darker green vegetable, you can try making roasted broccoli: http://www.foodnetwork.com/recipes/ina-garten/parmesan-roasted-broccoli-recipe.html or veggie chips: http://www.kidspot.com.au/15-healthy-fruit-and-veggie-chips/ Trying different types of textures may help. My nephew ended up liking the baked broccoli and spinach chips as those are crunchy. With seasoning, the "vegetable" taste is not as strong and he now enjoys having those as snacks. Hope you find something that works too!