Explanation:

- Option 1: South Indian Bank: This is a private sector bank based in India. It offers a variety of banking services but there are no specific reports of a recent tie-up with Star Health and Allied Insurance Company Limited.

- Option 2: Kerala Gramin Bank: This regional rural bank primarily operates in Kerala. There haven't been any recent announcements about a partnership with Star Health.

- Option 3: Federal Bank: This is a major private sector bank in India. ?? It has recently partnered with Star Health and Allied Insurance Company Limited to offer health insurance products. ??

- Option 4: Vallivattom Service Co-operative Bank: A smaller cooperative bank, not typically involved in large corporate tie-ups like those with major insurance firms.

- Option 5: Dhanlaxmi Bank: A banking and financial services firm in India. No current collaborations with Star Health have been noted.