The Kolkata-based group has said it was "although shocked" but not surprised to note HUL's "unfair business practice which has been prevalent time and again to damage our brand image".
The company will be consulting its legal experts to address this issue further, it added.
FMCG major HUL on Thursday said it has rebranded its popular skincare brand Fair & Lovely as 'Glow & Lovely' after dropping the word fair in its name.
Its men's range of its products, HUL said, will be called 'Glow & Handsome'.
HUL's response on the whole development is still awaited.
HUL, a subsidiary of British-Dutch multinational company Unilever PLC, had approached the Controller General of Patent Design and Trademark to get the name 'Glow & Lovely' registered.
Several cosmetic brands have been under the scanner over their products that promote skin fairness for stereotyping racial types, which intensified further in the wake of 'Black Lives Matter' movement in the West.
Recently the US healthcare and FMCG giant Johnson & Johnson (J&J) has stopped the sale of its skin-whitening creams globally, including India.
French personal care maker the L'Oreal Group also last week said it will drop words such as 'white/whitening, fair/fairness, light/lightening' from all its skincare products.