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