According to The Times of India, the actress accused the stylist of deliberately making her look "ugly".
A source told the paper: "The situation was so tense in the dressing room that the hair stylist even contemplated quitting.
"However, at one point, she snapped back, which is when Asin said that she was being deliberately sabotaged by someone who wanted her to look ugly, and she stormed out of the make-up room."
Thottumkal puts at least six hair extensions in to make her hair look thicker, the site claims.
It was suggested last week that the actress had opted for plastic surgery to make her lips look bigger, after she was spotted looking different at a film premiere.
She will next be seen starring opposite Akshay Kumar in the eagerly-awaited follow-up to the comedy Housefull.