A small white or black pimple-like spot near the lower eye is often due to a blocked oil gland or a tiny cyst under the skin. Try keeping the area clean and gently applying a warm compress for a few minutes once or twice daily to help it settle, and avoid rubbing or squeezing it as this can irritate the delicate skin. Use mild, non-oily products around the eyes and remove makeup properly to prevent blockage, and keep your hands clean before touching the area. Avoid using harsh creams near the eye as they can worsen irritation. If the spot increases in size, becomes painful, or affects vision, it needs attention. Consult a doctor if it does not improve or starts troubling you more.