Making espresso without an espresso machine using a stove-top espresso maker like this "Moka pot" available from stores and online at Amazon.com.
The name for these stove top espresso makers is "moka" which comes from Italian. The pot is divided into a lower and upper chamber which screws apart at the center. You put water in the lower chamber and then place the piece that holds the ground coffee with the stem down into the water. Finally screw the top chamber in place securely. When the pot is put on the stove and the water reaches the correct temperature, it is forced up through the coffee grounds into the upper chamber. It is best to place the pot on medium heat and on the smallest burner you have. You need to keep an eye on it and remove it from the heat as soon as you hear the last of the water coming into the top chamber. You'll soon know when this is happening by the sound that the moka pot is making. Consider the size before you buy. You don't want to buy one that is any bigger than the number of cups you are typically going to make. Use good beans and grind them to a medium grind, not the fine grind you use in an espresso machine. As always, use high quality espresso beans. Unfortunately, you won't be able to make crema like you do in an espresso machine when using a moka pot, but if you are using good beans, you will still have delicious coffee to enjoy.