Combine sesame seeds with a little water in an electric processor. Blend into a fine paste. Mix in the corn flour mixture.
Strain and place the sesame seed mixture into a non-stick saucepan add the remaining water and sugar. Stir well to mix.
Cook over medium heat until the mixure comes to a boil. Simmer gently for 10 to 15 minutes. Stir in milk to blend and continue to simmer gently for six to seven minutes until mixture is smooth and thick.