There are several creams available for reduction of spots and dark circles. Chemical peel is a very useful adjunctive treatment which will give you better and faster results.
However, you have to make sure you protect your skin from sunlight and modify your diet to include brightly colored fruits and vegetables, which contain abundant antioxidants.
For more details, do share photographs of the pigmentation with me via direct online consultation on Practo.
Next Steps
Consult a certified dermatologist