Destria Medal

Destria Medal is a Chocobo medal.

Source
Destria Medal can be obtained by defeating Gladio in the chocobo race ".vs Gladio".
 * This race is notably more difficult than Prompto's race, but can be completed even with a level 1 chocobo. It is recommended that you give your chocobo food to increase its stamina and use the "Halt" button to maintain speed while making sharper turns.