Remove the crusts from the bread and flatten each slice with a rolling pin.
Combine mayonnaise and mustard. Spread about ½ tablespoon on each bread slice.
Arrange cucumbers and red peppers evenly on each slice of bread, and top with ½ ounce turkey.
Roll each slice into a log, and cut each log into four pieces with a sharp knife. Serve immediately, or refrigerate logs until ready to serve (cut prior to serving).