Lightly oil a 1 1/2-quart saucepan; add water, and bring to a boil over medium-high heat. Reduce heat to keep water at a simmer.
Carefully break eggs, one at a time, into a small saucer; gently slip each egg into water, holding dish close to surface of water. Simmer, uncovered, 2 to 3 minutes depending on desired degree of doneness. Remove eggs with a slotted spoon, and drain on paper towels; trim edges, if desired. Serve immediately.