Trim the tops of the artichoke by slicing about an inch from the top. Cut the stems from the bottom.
If your artichokes still have the little thorns on the petals you can trim the tips with scissors.
In an Instant Pot place the water and the artichokes stem side down.
Set the Instant Pot to high pressure and cook for 10 minutes with 2 minutes on natural release.
Let the artichokes cool while you make the butter dip.
Melt the butter in a small pan and add the garlic, oregano and cheese.
Half each artichoke lengthwise and drizzle the olive oil over them. Place on the grill with the inside of the artichoke on the grates.
Grill for about 2-3 minutes or until the inside starts to get charred. Watch them as they burn fast.
Turn the artichokes over and repeat on the other side.
Once the artichokes are ready, place them on your serving dish and spoon the melted butter mixture over each artichoke.
Serve at once with extra Parmesan and fresh oregano if desired.