Place the bread on a flat surface. Flatten the bread slices with a rolling pin.
Spread the mayonnaise and mustard evenly on each slice of bread and layer with 1 slice of turkey ham and 1 slice of cheese.
Lay 1 carrot, 1 cucumber and 1 red bell pepper matchstick on the bottom of each slice of bread. Roll up the bread, pressing gently. Cut each roll into 4 equal pieces.