In a medium mixing bowl, whisk together egg white, water, and vanilla. Stir to coat.
In a smaller separate bowl, combine sugar, cinnamon, and salt.
Add the pecans and figs to the egg mixture, followed by half of the cinnamon and sugar mixture.
Spread pecans and figs in an even layer of a greased cookie sheet. Place in the oven and roast for 30 minutes. Stir mixture and sprinkle with the remaining cinnamon and sugar mixture. Roast for an additional 30 minutes. Remove from oven and allow mixture to cool completely.
For the ice cream:
In a large mixing bowl, combine whole milk and sugar. Beat at low speed until sugar is completely dissolved, about two minutes. Stir in the heavy cream and vanilla.
Prepare ice cream according to your machine’s directions. Add cooled candied figs and pecans, along with any juice that may have accumulated during roasting, during the last five minutes of processing.