Grease a tray with little ghee. Keep aside.
Heat a thick bottom kadai or wok. Add sugar and milk. Mix well.
Start boiling on medium flame. After 10 minutes, the sugar would have dissolved and milk will start thickening on sides.
At this point add homemade coconut milk. Mix well again and boil on medium flame with timely stirring.
Keep boiling and stirring on medium flame. This takes almost 45 minutes and the mixture starts thickening at every stage.
The colour of the mixture from white turns to dark cream. At the end of almost one hour with continuously stirring, the mixture thickens well and leaves the sides of the kadai or wok.
Now immediately pour this mixture into greased tray. When the burfi is hot make markings with a knife and allow the mixture to cool completely. Cut the amruthaphala, remove them carefully and enjoy the real amrutha.