MayoClinic.Com
"During a tubal ligation reversal, the health care provider removes the blocked segment of the fallopian tube and reconnects the remainder of the fallopian tubes to allow pregnancy. If the tubal ligation reversal is successful, eggs are once again able to move to the uterus for fertilization and sperm are able to travel up the fallopian tubes to join the egg."

Wikipedia.com
"Tubal ligation reversal utilizes the techniques of microsurgery to open and reconnect the fallopian tube segments that remain after a tubal sterilization procedure. Microsurgery minimizes tissue damage and bleeding during surgery. Essential elements of microsurgical technique include gentle tissue handling, magnifying the operating field, keeping body tissues in their normal state with warmed irrigation fluids, and using the smallest sutures with the thinnest needles capable of holding the tubal ends together to promote proper healing of the rejoined tubal segments."

Shared Journey
Some clinics now offer tubal ligation reversals that are completed using microsurgical techniques. If you opt to have this type of tubal reversal, your recovery time will actually be reduced significantly. Because microsurgical instruments are so small, fewer incisions have to be made in order to reattach your tubes.

About.com Women's Health
More than 650,000 women undergo tubal ligation in the United States annually...What happens when circumstances change and a women decides that she really does want to become pregnant? Approximately six percent of women who originally decided that tubal ligation was the way to end their childbearing years will, within five years, decide that she does indeed want to experience pregnancy and the birth of a new baby.