Certain parrots love pasta and it is fine to feed to them in moderation as with most table foods that are safe for parrots to eat. I own 15 birds from a Green Wing Macaw to a Norwich canary. Most of my parrots want their pasta cooked (just like ours). Since pasta is fattening, please determine your parrot's body condition and also if it is a species, example, Amazons, that are prone to obesity. There are also wonderful cooked diets for parrots that include some pasta. Your conure is wanting to "share" from your plate because in the wild, parrots eat with their flock and you are your conure's flock!