Sauté Aromatics: Heat the olive oil in a medium saucepan over medium-low heat. Add the diced red onion, mustard seeds, and kosher salt. Cook, stirring frequently, until the onions are soft and translucent (about 10 minutes).
Add Sweet and Tangy Ingredients: Stir in the cider vinegar, sugar, and Dijon mustard. Let the mixture simmer gently.
Incorporate the Grapes: Add the halved red grapes to the pan. Cook for about 10 minutes, stirring often, until the grapes soften and start to break down but still retain some texture.
Cool and Serve: Remove the pan from the heat and allow the mixture to cool completely. Transfer the grape mostarda to a jar for storage or serve immediately.