Melt chocolate in double boiler over hot (not boiling) water. Gradually whisk in milk, stir until smooth. Remove from heat; let cool.
Whisk eggs in a mixing bowl until light and fluffy, 1-2 minutes. Gradually whisk in sugar, then continue whisking 1 minute longer until completely blended. Add cream, vanilla, and salt; whisk. Add the choclate mixture; blend well. Cover, chill, and freeze according to ice cream maker's