In a large heavy pot, spread sugar in a thin, even layer. Turn burner to medium and heat until parts of the sugar begin to bubble and liquefy.
Gently stir the mixture, moving the unmelted sugar to the hottest parts of the pot. Continue, stirring occasionally, until all the sugar is melted.
Meanwhile, heat cream in the microwave or over the stove, until warm (not hot) to the touch.
When the sugar is completely melted and has turned a deep golden amber color, remove from heat. Whisk in 1/2 of the warmed cream. The mixture will bubble. Whisk in remaining cream until smooth.
Stir in salt and vanilla. If any caramel has hardened, simply place over heat and remelt until smooth.
Serve the warm apple wontons with warm caramel sauce.