Wash the mini corn, dry it with a paper towel, and cut off the ends of each cob. Wash the cherry tomatoes, drain excess water, and cut into halves. Set aside some of the cobs and tomatoes for serving. Peel the garlic and chop finely. Grate the cheese on a fine grater. Preheat the oven to 180 degrees and select a suitable baking dish.
Fry the corn. Heat vegetable oil in a frying pan and fry chopped garlic in it for flavor. Place the corn cobs in the pan, add cherry tomatoes to them. Sprinkle with dried basil, sweet paprika and salt to taste. Fry for 3-4 minutes over medium heat. Cool, add grated cheese to the mixture and stir.
Bake toast. Brush the bread pieces on one side with soft butter. Divide the filling into two parts and carefully place on two slices of bread. Top with two other slices of bread, buttery side facing in. Place the toast in the pan and place in the oven preheated to 180 degrees. Bake for 3-5 minutes until crispy and cheese melted.
Serve the toasts garnished with the remaining fresh mini corn on the cob and fresh cherry tomatoes.