Combine red wine vinegar, sugar, and dried figs with 1/4 cup water in a saucepan; bring to a simmer. Remove from heat and let sit until figs soften, about 30 minutes.

Halve figs lengthwise. (Alternatively, use 6 fresh figs and halve lengthwise.)

Finely crush pistachios and combine with extra-virgin olive oil.

Grill bread slices.

Smear room-temperature Robiola cheese onto warm toasts. Top with halved figs. Drizzle with pistachio oil.