Could anyone tell me what this pigmented area around tear duct could be? (Photos)

While it's difficult to provide a definitive diagnosis without an in-person examination, there are several possible reasons for pigmentation changes around the tear duct area. Here are a few possibilities to consider:

Benign Pigmentation: Increased pigmentation around the eyes can be a common occurrence and might be due to genetic factors, sun exposure, or hormonal changes.

Allergic Shiners: Darkening around the eyes can sometimes result from allergies, which cause congestion and swelling in the nasal passages and the veins under the eyes to enlarge and darken.

Melasma: Although more common on other parts of the face, melasma can occasionally appear near the eyes, especially in areas exposed to the sun.

Nevus or Freckle: It might be a benign nevus (mole) or freckle, which can be naturally pigmented.

Other Dermatological Conditions: Conditions such as post-inflammatory hyperpigmentation, which can occur after inflammation or irritation, might also be a cause.

It's important to consult with a dermatologist for an accurate diagnosis and appropriate management. They can examine the area and may perform further tests if needed to determine the cause of the pigmentation. If you're concerned about any changes in your skin, especially if they are new or changing in appearance, seeking professional advice is always the best course of action.