Pinarello decals were not cleared over and tend to disintegrate buy merely looking at them.
Buff off/goo gone/whatever the remaining decals and clean/polish the frame. Do any paint touch-ups you can/want and apply new decals. Velocals can supply the decals and can include an additional clear UV protective layer.
My '89 Treviso was decal free when I got it...a little elbow grease and a new decal set and she's "good as new"...