Does sesshomaru fall in love with ren?

Many people pair him with Rin, though that is not true. In 'Inuyasha: Final Act,' he give her a kimono. He has feelings for her, but not romantic ones. He probably cares for her because she tried to heal him the first time she met him. She is the only one (besides Jaken, but he's crazy) who has ever cared for him. Overall, if you mean romantically, no, Sesshomaru doesn't ever fall in love in the series, 'Inuyasha'.