**Core Concept**
Tubal recannalisation is a minimally invasive procedure aimed at restoring fertility in women with tubal blockage. The success rate of this procedure depends on various factors, including the cause and duration of tubal blockage, the technique used, and the patient's overall health.

**Why the Correct Answer is Right**
The success rate of tubal recannalisation is significantly lower after a **previous tubal ligation**. This is because the scarring from the previous surgery can lead to adhesions and fibrosis, making it more challenging to successfully recannalise the tubes. Furthermore, the procedure may not be able to overcome the extensive scarring and tissue damage caused by the previous ligation.

**Why Each Wrong Option is Incorrect**
**Option A:** While a previous ectopic pregnancy may increase the risk of complications during tubal recannalisation, it does not necessarily lower the success rate of the procedure.
**Option B:** A previous pelvic infection can increase the risk of complications during tubal recannalisation, but it does not significantly lower the success rate of the procedure.
**Option C:** A previous tubal damage due to pelvic surgery may lower the success rate of tubal recannalisation, but it is not as significant as a previous tubal ligation.

**Clinical Pearl / High-Yield Fact**
It's essential to note that the success rate of tubal recannalisation is generally lower in patients with a previous tubal ligation, and these patients may be better suited for alternative fertility treatments, such as in vitro fertilization (IVF).

**Correct Answer:** A. Previous tubal ligation.