How to talk with Flipkart customer care number 24x7? - How to talk with Flipkart customer care number 24x7? To register a claim, please call our Customer Care Number (1800-425-365-365 or 08638-265721). You may be asked to submit additional documents and other relevant information on a case-to-case basis for processing claims Replies: Re: How to talk with Flipkart customer care number 24x7? To register a claim, please call our Customer Care Number (1800-425-365-365 or 08638-265721). You may be asked to submit additional documents and other relevant information on a case-to-case basis for processing claims.