Shashi Tharoor urged Sonam Wangchuk to end his fast, promising Parliament would raise students' concerns.
Akhilesh Yadav, Uddhav Thackeray, Mahua Moitra and Arvind Kejriwal also appealed to Wangchuk to stop fasting.
Protesters demand Dharmendra Pradhan's resignation, compensation for families, and plan Parliament march on July 20.