Fill a deep pot with water about one and a half times the volume of your coffee pot. Bring to a rolling boil on high and let it boil for a minute. Remove off heat. While the water is heating up, put your coffee grounds into a coffee pot (džezva).
(Optional) Before adding boiling water to the coffee pot, place the coffee pot with coffee grounds on the hot range, and heat it up for 30 seconds or so, shaking or stirring the coffee pot lightly.
Bring the temperature down to low. Pour boiling water into the coffee pot with coffee grounds about ¾ of the way, leaving a little bit of empty space in the pot. Stir the coffee quickly and well so that the mounds of coffee break apart, then remove the spoon. Cook for a few minutes, and don't step away. The coffee will form a light brown foam on top and start to rise.
Once the coffee rises and is almost about to spill from the pot, remove the pot from the hot stove ring, and let the coffee and foam settle down for a few seconds.
Slowly pour some of the remaining boiling water into the coffee pot to top it off, and return the coffee pot to the range. Cook coffee a short while more, until the foam starts to rise again. Remove the coffee pot from the heat just as the foam reaches the top again. (You can repeat this step once or twice if you wish.)