From Statement I-
Ani is second to the right of Veer. Shri is sitting adjacent Prinu and Raj. Shri is second to the right of Ani. Renu and Chiu are not immediate neighbours.

This statement is not sufficient.
From Statement II-
Shri faces away from the centre. Prinu is sitting immediate right of Shri. Veer and Prinu are facing the same direction.

This statement is not sufficient.
From Statement III-
Omi is sitting opposite Ani. Omi is third to the right of Renu. Omi and Veer face same directions. Chiu is second to the right of Renu.

This statement is not sufficient.
From Statement I and II-
Statement I- Ani is second to the right of Veer. Shri is sitting adjacent to Prinu and Raj. Shri is second to the right of Ani. Renu and Chiu are not immediate neighbours.
Statement II- Shri faces away from the centre. Prinu is sitting immediate right of Shri. Veer and Prinu are facing the same direction.

As there is no information about Omi.
Thus, data in statements I and II are not sufficient to answer the question.
From Statement II and III-
Statement II- Shri faces away from the centre. Prinu is sitting immediate right of Shri. Veer and Prinu are facing the same direction.
Statement III- Omi is sitting opposite Ani. Omi is third to the right of Renu. Omi and Veer face same directions. Chiu is second to the right of Renu.

Here, we cannot find out whether the person sitting second to the left of Omi.
Thus, data in statements II and III are not sufficient to answer the question.
From Statement I and III:
Statement I- Ani is second to the right of Veer. Shri is sitting adjacent to Prinu and Raj. Shri is second to the right of Ani. Renu and Chiu are not immediate neighbours.
Statement III- Omi is sitting opposite Ani. Omi is third to the right of Renu. Omi and Veer face same directions. Chiu is second to the right of Renu.

As we can see in both these cases Shri is sitting second to the left of Omi.
Hence, Both Statement I and III together are sufficient.