In a large skillet, heat the olive oil over medium heat and sauté the onion until softened, about 5 minutes. Add the garlic and cook for 30 seconds. Add the wine and artichoke hearts and cook, stirring occasionally, until the liquid evaporates, 5 to 8 minutes.
Remove the skillet from heat and stir in the cream cheese until totally melted and combined. Stir in 1¼ cups of the fontina and the parsley. Transfer the mixture to a 2-quart baking dish and sprinkle with the remaining fontina cheese.
Bake until golden brown and bubbling, about 30 minutes. Sprinkle with additional parsley and serve with pita chips.