Add all ingredients for the olive chutney into a pan and bring the mixture to a boil. Add the lid, turn down heat and simmer 15 minutes, or until the onions are soft and tender. Remove from heat and cool 5 to 10 minutes before using.
In a medium skillet over medium heat, melt 1 Tbsp of butter.
Assemble your sandwiches as the butter melts. Spread each slice of bread with a thin layer of the olive chutney and top with one slice of provolone. Add 2 to 3 slices of tomato to the bottom halves of the sandwiches, then top with the other cheese covered slices of bread.
Once the butter is melted, add one sandwich to the skillet. Cook until golden brown, approximately 1 to 2 minutes. Add another Tbsp of butter to the skillet and flip the sandwich. Cook again until golden brown and the cheese is melted, approximately 1 to 2 minutes. Repeat this cooking process with the other sandwich.
Serve immediately.