**Core Concept**
A satellite lesion is a secondary lesion that occurs near the primary site of a disease, often in conditions like skin cancers or infectious diseases. In this context, the question is asking about a type of satellite lesion that exhibits locally invasive properties, meaning it spreads to surrounding tissues.

**Why the Correct Answer is Right**
The correct answer is a characteristic feature of melanoma, particularly in the radial growth phase. Satellite lesions in melanoma are small, dark brown to black spots that appear around the primary tumor site. These lesions are thought to arise from single cells that break away from the primary tumor and travel to new sites through the lymphatic system, where they establish new growths. The locally invasive property of these lesions is due to the ability of melanoma cells to migrate and proliferate in new locations.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because while basal cell carcinoma is a type of skin cancer, it typically does not exhibit satellite lesions with locally invasive properties.
* **Option B:** This option is incorrect because actinic keratosis is a pre-cancerous lesion that can progress to squamous cell carcinoma, but it does not typically exhibit satellite lesions.
* **Option C:** This option is incorrect because while dermatofibroma is a type of skin lesion, it is not typically associated with satellite lesions or locally invasive properties.

**Clinical Pearl / High-Yield Fact**
When evaluating skin lesions, it's essential to consider the ABCDE rule: Asymmetry, Border irregularity, Color variation, Diameter greater than 6mm, and Evolving appearance. If a lesion exhibits any of these characteristics, it may be suspicious for melanoma.

**Correct Answer: D. Melanoma**