The visit marked the 60th anniversary of former Prime Minister Lal Bahadur Shastri's death.
The university has been teaching Hindi for 80 years.
More than 3,000 words are similar in Uzbek and Hindi, showing a close language link.
The scholarship aims to strengthen friendship and learning between the two countries.
He placed flowers at the Shastri Memorial to honor a former Indian leader.
He visited the Tashkent State University of Oriental Studies and talked with scholars who study Indian subjects.
He announced a new scholarship for Uzbek students to learn Hindi.
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