Place eggs on bottom half of bread. Top with tomatoes and basil. Sandwich with top bread half, and press down slightly. Wrap tightly in parchment.
One of the best riffs on it is adding tomato sauce into the mix which instantly puts this simple dish up there with other egg ...
Stir in tomato paste ... Scoop egg salad onto slices covered in jam. Top with remaining bread, gently pressing down to spread out filling. Halve sandwiches and serve.