Gather the ingredients.
Bring 9 cups of the water to a rapid boil in a saucepan or enamel coffee pot.
While waiting for the water to boil, stir together the ground coffee, remaining ¼ cup water, and the egg in a small bowl or measuring cup. (You can omit the eggshell and use only the egg yolk and white if you prefer.)
Once the water is boiling , carefully pour in the egg and coffee mixture. Turn down the heat and simmer for 3 minutes, being watchful that it doesn't boil over.
The coffee grounds will gradually bind together into a single mass that floats to the top of the pot. Once this happens, immediately remove the pot from heat.
Pour in the 1 cup of cold water and let the coffee sit for 10 minutes. This allows the coffee grounds to settle to the bottom of the pot.
Once the grounds have sunk to the bottom, pour the coffee through a fine-meshed sieve or strainer into cups and serve.